What is the Greatest Common Factor of 77564 and 77574?

Greatest common factor (GCF) of 77564 and 77574 is 2.

GCF(77564,77574) = 2

We will now calculate the prime factors of 77564 and 77574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77564 and 77574.

How to find the GCF of 77564 and 77574?

We will first find the prime factorization of 77564 and 77574. After we will calculate the factors of 77564 and 77574 and find the biggest common factor number .

Step-1: Prime Factorization of 77564

Prime factors of 77564 are 2, 19391. Prime factorization of 77564 in exponential form is:

77564 = 2² × 19391¹

Step-2: Prime Factorization of 77574

Prime factors of 77574 are 2, 3, 7, 1847. Prime factorization of 77574 in exponential form is:

77574 = 2¹ × 3¹ × 7¹ × 1847¹

Step-3: Factors of 77564

List of positive integer factors of 77564 that divides 77564 without a remainder.

1, 2, 4, 19391, 38782

Step-4: Factors of 77574

List of positive integer factors of 77574 that divides 77564 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1847, 3694, 5541, 11082, 12929, 25858, 38787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77564 and 77574. The biggest common factor number is the GCF number.
So the greatest common factor 77564 and 77574 is 2.

Also check out the Least Common Multiple of 77564 and 77574