GCF of 72 and 1375

What is the GCF of 72 and 1375?


GCF of 72 and 1375

is 1

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What is the Greatest Common Factor of 72 and 1375? 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 72 and 1375 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 72.
    2, 2, 2, 3, 3
  2. Find the prime factors of the second number 1375.
    5, 5, 5, 11
  3. If, There are no common prime factors then the GCF value will be
    1

Factors Method:

  1. Find the factors of the first number 72.
    1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
  2. Find the factors of the second number 1375.
    1, 5, 11, 25, 55, 125, 275, 1375
  3. The biggest common factor number is the GCF value. Which is,
    1

Number GCF LCM
72 & 1370 2 49320
72 & 1371 3 32904
72 & 1372 4 24696
72 & 1373 1 98856
72 & 1374 6 16488
72 & 1375 1 99000
72 & 1376 8 12384
72 & 1377 9 11016
72 & 1378 2 49608
72 & 1379 1 99288
72 & 1380 12 8280

GCF (Greatest Common Factor) of 72 and 1375 is 1.

GCD (Greatest Common Divisor) of 72 and 1375 is 1.

HCF (Highest Common Factor) of 72 and 1375 is 1.