What is the Greatest Common Factor of 77964 and 77978?

Greatest common factor (GCF) of 77964 and 77978 is 2.

GCF(77964,77978) = 2

We will now calculate the prime factors of 77964 and 77978, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77964 and 77978.

How to find the GCF of 77964 and 77978?

We will first find the prime factorization of 77964 and 77978. After we will calculate the factors of 77964 and 77978 and find the biggest common factor number .

Step-1: Prime Factorization of 77964

Prime factors of 77964 are 2, 3, 73, 89. Prime factorization of 77964 in exponential form is:

77964 = 2² × 3¹ × 73¹ × 89¹

Step-2: Prime Factorization of 77978

Prime factors of 77978 are 2, 127, 307. Prime factorization of 77978 in exponential form is:

77978 = 2¹ × 127¹ × 307¹

Step-3: Factors of 77964

List of positive integer factors of 77964 that divides 77964 without a remainder.

1, 2, 3, 4, 6, 12, 73, 89, 146, 178, 219, 267, 292, 356, 438, 534, 876, 1068, 6497, 12994, 19491, 25988, 38982

Step-4: Factors of 77978

List of positive integer factors of 77978 that divides 77964 without a remainder.

1, 2, 127, 254, 307, 614, 38989

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77964 and 77978. The biggest common factor number is the GCF number.
So the greatest common factor 77964 and 77978 is 2.

Also check out the Least Common Multiple of 77964 and 77978