What is the Greatest Common Factor of 59546 and 59564?

Greatest common factor (GCF) of 59546 and 59564 is 2.

GCF(59546,59564) = 2

We will now calculate the prime factors of 59546 and 59564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59546 and 59564.

How to find the GCF of 59546 and 59564?

We will first find the prime factorization of 59546 and 59564. After we will calculate the factors of 59546 and 59564 and find the biggest common factor number .

Step-1: Prime Factorization of 59546

Prime factors of 59546 are 2, 19, 1567. Prime factorization of 59546 in exponential form is:

59546 = 2¹ × 19¹ × 1567¹

Step-2: Prime Factorization of 59564

Prime factors of 59564 are 2, 14891. Prime factorization of 59564 in exponential form is:

59564 = 2² × 14891¹

Step-3: Factors of 59546

List of positive integer factors of 59546 that divides 59546 without a remainder.

1, 2, 19, 38, 1567, 3134, 29773

Step-4: Factors of 59564

List of positive integer factors of 59564 that divides 59546 without a remainder.

1, 2, 4, 14891, 29782

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59546 and 59564. The biggest common factor number is the GCF number.
So the greatest common factor 59546 and 59564 is 2.

Also check out the Least Common Multiple of 59546 and 59564