What is the Greatest Common Factor of 76920 and 76925?

Greatest common factor (GCF) of 76920 and 76925 is 5.

GCF(76920,76925) = 5

We will now calculate the prime factors of 76920 and 76925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76920 and 76925.

How to find the GCF of 76920 and 76925?

We will first find the prime factorization of 76920 and 76925. After we will calculate the factors of 76920 and 76925 and find the biggest common factor number .

Step-1: Prime Factorization of 76920

Prime factors of 76920 are 2, 3, 5, 641. Prime factorization of 76920 in exponential form is:

76920 = 2³ × 3¹ × 5¹ × 641¹

Step-2: Prime Factorization of 76925

Prime factors of 76925 are 5, 17, 181. Prime factorization of 76925 in exponential form is:

76925 = 5² × 17¹ × 181¹

Step-3: Factors of 76920

List of positive integer factors of 76920 that divides 76920 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 641, 1282, 1923, 2564, 3205, 3846, 5128, 6410, 7692, 9615, 12820, 15384, 19230, 25640, 38460

Step-4: Factors of 76925

List of positive integer factors of 76925 that divides 76920 without a remainder.

1, 5, 17, 25, 85, 181, 425, 905, 3077, 4525, 15385

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76920 and 76925. The biggest common factor number is the GCF number.
So the greatest common factor 76920 and 76925 is 5.

Also check out the Least Common Multiple of 76920 and 76925