What is the Greatest Common Factor of 61546 and 61564?

Greatest common factor (GCF) of 61546 and 61564 is 2.

GCF(61546,61564) = 2

We will now calculate the prime factors of 61546 and 61564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61546 and 61564.

How to find the GCF of 61546 and 61564?

We will first find the prime factorization of 61546 and 61564. After we will calculate the factors of 61546 and 61564 and find the biggest common factor number .

Step-1: Prime Factorization of 61546

Prime factors of 61546 are 2, 30773. Prime factorization of 61546 in exponential form is:

61546 = 2¹ × 30773¹

Step-2: Prime Factorization of 61564

Prime factors of 61564 are 2, 15391. Prime factorization of 61564 in exponential form is:

61564 = 2² × 15391¹

Step-3: Factors of 61546

List of positive integer factors of 61546 that divides 61546 without a remainder.

1, 2, 30773

Step-4: Factors of 61564

List of positive integer factors of 61564 that divides 61546 without a remainder.

1, 2, 4, 15391, 30782

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61546 and 61564. The biggest common factor number is the GCF number.
So the greatest common factor 61546 and 61564 is 2.

Also check out the Least Common Multiple of 61546 and 61564