What is the Greatest Common Factor of 54616 and 54634?

Greatest common factor (GCF) of 54616 and 54634 is 2.

GCF(54616,54634) = 2

We will now calculate the prime factors of 54616 and 54634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54616 and 54634.

How to find the GCF of 54616 and 54634?

We will first find the prime factorization of 54616 and 54634. After we will calculate the factors of 54616 and 54634 and find the biggest common factor number .

Step-1: Prime Factorization of 54616

Prime factors of 54616 are 2, 6827. Prime factorization of 54616 in exponential form is:

54616 = 2³ × 6827¹

Step-2: Prime Factorization of 54634

Prime factors of 54634 are 2, 59, 463. Prime factorization of 54634 in exponential form is:

54634 = 2¹ × 59¹ × 463¹

Step-3: Factors of 54616

List of positive integer factors of 54616 that divides 54616 without a remainder.

1, 2, 4, 8, 6827, 13654, 27308

Step-4: Factors of 54634

List of positive integer factors of 54634 that divides 54616 without a remainder.

1, 2, 59, 118, 463, 926, 27317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54616 and 54634. The biggest common factor number is the GCF number.
So the greatest common factor 54616 and 54634 is 2.

Also check out the Least Common Multiple of 54616 and 54634