What is the Greatest Common Factor of 71925 and 71932?

Greatest common factor (GCF) of 71925 and 71932 is 7.

GCF(71925,71932) = 7

We will now calculate the prime factors of 71925 and 71932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71925 and 71932.

How to find the GCF of 71925 and 71932?

We will first find the prime factorization of 71925 and 71932. After we will calculate the factors of 71925 and 71932 and find the biggest common factor number .

Step-1: Prime Factorization of 71925

Prime factors of 71925 are 3, 5, 7, 137. Prime factorization of 71925 in exponential form is:

71925 = 3¹ × 5² × 7¹ × 137¹

Step-2: Prime Factorization of 71932

Prime factors of 71932 are 2, 7, 367. Prime factorization of 71932 in exponential form is:

71932 = 2² × 7² × 367¹

Step-3: Factors of 71925

List of positive integer factors of 71925 that divides 71925 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 137, 175, 411, 525, 685, 959, 2055, 2877, 3425, 4795, 10275, 14385, 23975

Step-4: Factors of 71932

List of positive integer factors of 71932 that divides 71925 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 367, 734, 1468, 2569, 5138, 10276, 17983, 35966

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71925 and 71932. The biggest common factor number is the GCF number.
So the greatest common factor 71925 and 71932 is 7.

Also check out the Least Common Multiple of 71925 and 71932