What is the Greatest Common Factor of 77940 and 77944?

Greatest common factor (GCF) of 77940 and 77944 is 4.

GCF(77940,77944) = 4

We will now calculate the prime factors of 77940 and 77944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77940 and 77944.

How to find the GCF of 77940 and 77944?

We will first find the prime factorization of 77940 and 77944. After we will calculate the factors of 77940 and 77944 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77944

Prime factors of 77944 are 2, 9743. Prime factorization of 77944 in exponential form is:

77944 = 2³ × 9743¹

Step-3: Factors of 77940

List of positive integer factors of 77940 that divides 77940 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

Step-4: Factors of 77944

List of positive integer factors of 77944 that divides 77940 without a remainder.

1, 2, 4, 8, 9743, 19486, 38972

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77940 and 77944. The biggest common factor number is the GCF number.
So the greatest common factor 77940 and 77944 is 4.

Also check out the Least Common Multiple of 77940 and 77944