GCF of 996 and 1372

What is the GCF of 996 and 1372?

GCF of 996 and 1372

is 4

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Greatest Common Factor

What is the Greatest Common Factor of 996 and 1372? The greatest common factor (GCF) of a set of numbers is the largest positive integer that divides each of the numbers evenly. It's also called the greatest common divisor (GCD).

The GCF can be found using a variety of methods, including prime factorization and division. The Euclidean algorithm is a commonly used method for finding the GCF of two numbers, and it can be extended to finding the GCF of more than two numbers.

To find GCF (Greatest Common Factor) between two numbers, mainly there are two methods available, Those are-

1. Prime Factorization Method: Find the prime factors of both number and then multiply of all the common prime factors value, you will get the GCF value.

2. Factors Method: Find the factors of both number. In those both factors the highest common factor number is the GCF value.

For calculation, here's how to calculate GCF of 996 and 1372 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 996.
    2, 2, 3, 83
  2. Find the prime factors of the second number 1372.
    2, 2, 7, 7, 7
  3. Multiply of all the common prime factors is the GCF value. Which is,
    4

Factors Method:

  1. Find the factors of the first number 996.
    1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
  2. Find the factors of the second number 1372.
    1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372
  3. The biggest common factor number is the GCF value. Which is,
    4

GCF (Greatest Common Factor) of 996 and 1372 is 4.

GCD (Greatest Common Divisor) of 996 and 1372 is 4.

HCF (Highest Common Factor) of 996 and 1372 is 4.

Number GCF LCM
996 & 1367 1 1361532
996 & 1368 12 113544
996 & 1369 1 1363524
996 & 1370 2 682260
996 & 1371 3 455172
996 & 1372 4 341628
996 & 1373 1 1367508
996 & 1374 6 228084
996 & 1375 1 1369500
996 & 1376 4 342624
996 & 1377 3 457164
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