What is the Greatest Common Factor of 77910 and 77925?

Greatest common factor (GCF) of 77910 and 77925 is 15.

GCF(77910,77925) = 15

We will now calculate the prime factors of 77910 and 77925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77910 and 77925.

How to find the GCF of 77910 and 77925?

We will first find the prime factorization of 77910 and 77925. After we will calculate the factors of 77910 and 77925 and find the biggest common factor number .

Step-1: Prime Factorization of 77910

Prime factors of 77910 are 2, 3, 5, 7, 53. Prime factorization of 77910 in exponential form is:

77910 = 2¹ × 3¹ × 5¹ × 7² × 53¹

Step-2: Prime Factorization of 77925

Prime factors of 77925 are 3, 5, 1039. Prime factorization of 77925 in exponential form is:

77925 = 3¹ × 5² × 1039¹

Step-3: Factors of 77910

List of positive integer factors of 77910 that divides 77910 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 49, 53, 70, 98, 105, 106, 147, 159, 210, 245, 265, 294, 318, 371, 490, 530, 735, 742, 795, 1113, 1470, 1590, 1855, 2226, 2597, 3710, 5194, 5565, 7791, 11130, 12985, 15582, 25970, 38955

Step-4: Factors of 77925

List of positive integer factors of 77925 that divides 77910 without a remainder.

1, 3, 5, 15, 25, 75, 1039, 3117, 5195, 15585, 25975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77910 and 77925. The biggest common factor number is the GCF number.
So the greatest common factor 77910 and 77925 is 15.

Also check out the Least Common Multiple of 77910 and 77925