What is the Greatest Common Factor of 71919 and 71925?

Greatest common factor (GCF) of 71919 and 71925 is 3.

GCF(71919,71925) = 3

We will now calculate the prime factors of 71919 and 71925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71919 and 71925.

How to find the GCF of 71919 and 71925?

We will first find the prime factorization of 71919 and 71925. After we will calculate the factors of 71919 and 71925 and find the biggest common factor number .

Step-1: Prime Factorization of 71919

Prime factors of 71919 are 3, 61, 131. Prime factorization of 71919 in exponential form is:

71919 = 3² × 61¹ × 131¹

Step-2: 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-3: Factors of 71919

List of positive integer factors of 71919 that divides 71919 without a remainder.

1, 3, 9, 61, 131, 183, 393, 549, 1179, 7991, 23973

Step-4: Factors of 71925

List of positive integer factors of 71925 that divides 71919 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71919 and 71925. The biggest common factor number is the GCF number.
So the greatest common factor 71919 and 71925 is 3.

Also check out the Least Common Multiple of 71919 and 71925