What is the Greatest Common Factor of 77546 and 77564?

Greatest common factor (GCF) of 77546 and 77564 is 2.

GCF(77546,77564) = 2

We will now calculate the prime factors of 77546 and 77564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77546 and 77564.

How to find the GCF of 77546 and 77564?

We will first find the prime factorization of 77546 and 77564. After we will calculate the factors of 77546 and 77564 and find the biggest common factor number .

Step-1: Prime Factorization of 77546

Prime factors of 77546 are 2, 7, 29, 191. Prime factorization of 77546 in exponential form is:

77546 = 2¹ × 7¹ × 29¹ × 191¹

Step-2: Prime Factorization of 77564

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

77564 = 2² × 19391¹

Step-3: Factors of 77546

List of positive integer factors of 77546 that divides 77546 without a remainder.

1, 2, 7, 14, 29, 58, 191, 203, 382, 406, 1337, 2674, 5539, 11078, 38773

Step-4: Factors of 77564

List of positive integer factors of 77564 that divides 77546 without a remainder.

1, 2, 4, 19391, 38782

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77546 and 77564. The biggest common factor number is the GCF number.
So the greatest common factor 77546 and 77564 is 2.

Also check out the Least Common Multiple of 77546 and 77564