What is the Greatest Common Factor of 77946 and 77964?

Greatest common factor (GCF) of 77946 and 77964 is 6.

GCF(77946,77964) = 6

We will now calculate the prime factors of 77946 and 77964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77946 and 77964.

How to find the GCF of 77946 and 77964?

We will first find the prime factorization of 77946 and 77964. After we will calculate the factors of 77946 and 77964 and find the biggest common factor number .

Step-1: Prime Factorization of 77946

Prime factors of 77946 are 2, 3, 11, 1181. Prime factorization of 77946 in exponential form is:

77946 = 2¹ × 3¹ × 11¹ × 1181¹

Step-2: 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-3: Factors of 77946

List of positive integer factors of 77946 that divides 77946 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1181, 2362, 3543, 7086, 12991, 25982, 38973

Step-4: Factors of 77964

List of positive integer factors of 77964 that divides 77946 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77946 and 77964. The biggest common factor number is the GCF number.
So the greatest common factor 77946 and 77964 is 6.

Also check out the Least Common Multiple of 77946 and 77964