What is the Greatest Common Factor of 77925 and 77940?

Greatest common factor (GCF) of 77925 and 77940 is 15.

GCF(77925,77940) = 15

We will now calculate the prime factors of 77925 and 77940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77925 and 77940.

How to find the GCF of 77925 and 77940?

We will first find the prime factorization of 77925 and 77940. After we will calculate the factors of 77925 and 77940 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77940

Prime factors of 77940 are 2, 3, 5, 433. Prime factorization of 77940 in exponential form is:

77940 = 2² × 3² × 5¹ × 433¹

Step-3: Factors of 77925

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

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

Step-4: Factors of 77940

List of positive integer factors of 77940 that divides 77925 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 433, 866, 1299, 1732, 2165, 2598, 3897, 4330, 5196, 6495, 7794, 8660, 12990, 15588, 19485, 25980, 38970

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77925 and 77940. The biggest common factor number is the GCF number.
So the greatest common factor 77925 and 77940 is 15.

Also check out the Least Common Multiple of 77925 and 77940