GCF of 1372 and 994

What is the GCF of 1372 and 994?


GCF of 1372 and 994

is 14

Formula How to

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What is the Greatest Common Factor of 1372 and 994? 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 1372 and 994 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 1372.
    2, 2, 7, 7, 7
  2. Find the prime factors of the second number 994.
    2, 7, 71
  3. Multiply of all the common prime factors is the GCF value. Which is,
    14

Factors Method:

  1. Find the factors of the first number 1372.
    1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372
  2. Find the factors of the second number 994.
    1, 2, 7, 14, 71, 142, 497, 994
  3. The biggest common factor number is the GCF value. Which is,
    14

GCF (Greatest Common Factor) of 1372 and 994 is 14.

GCD (Greatest Common Divisor) of 1372 and 994 is 14.

HCF (Highest Common Factor) of 1372 and 994 is 14.

Number GCF LCM
1372 & 989 1 1356908
1372 & 990 2 679140
1372 & 991 1 1359652
1372 & 992 4 340256
1372 & 993 1 1362396
1372 & 994 14 97412
1372 & 995 1 1365140
1372 & 996 4 341628
1372 & 997 1 1367884
1372 & 998 2 684628
1372 & 999 1 1370628