What is the Greatest Common Factor of 77940 and 77960?

Greatest common factor (GCF) of 77940 and 77960 is 20.

GCF(77940,77960) = 20

We will now calculate the prime factors of 77940 and 77960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77940 and 77960.

How to find the GCF of 77940 and 77960?

We will first find the prime factorization of 77940 and 77960. After we will calculate the factors of 77940 and 77960 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 77960

Prime factors of 77960 are 2, 5, 1949. Prime factorization of 77960 in exponential form is:

77960 = 2³ × 5¹ × 1949¹

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 77960

List of positive integer factors of 77960 that divides 77940 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1949, 3898, 7796, 9745, 15592, 19490, 38980

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77940 and 77960. The biggest common factor number is the GCF number.
So the greatest common factor 77940 and 77960 is 20.

Also check out the Least Common Multiple of 77940 and 77960