What is the Greatest Common Factor of 54658 and 54668?

Greatest common factor (GCF) of 54658 and 54668 is 2.

GCF(54658,54668) = 2

We will now calculate the prime factors of 54658 and 54668, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54658 and 54668.

How to find the GCF of 54658 and 54668?

We will first find the prime factorization of 54658 and 54668. After we will calculate the factors of 54658 and 54668 and find the biggest common factor number .

Step-1: Prime Factorization of 54658

Prime factors of 54658 are 2, 27329. Prime factorization of 54658 in exponential form is:

54658 = 2¹ × 27329¹

Step-2: Prime Factorization of 54668

Prime factors of 54668 are 2, 79, 173. Prime factorization of 54668 in exponential form is:

54668 = 2² × 79¹ × 173¹

Step-3: Factors of 54658

List of positive integer factors of 54658 that divides 54658 without a remainder.

1, 2, 27329

Step-4: Factors of 54668

List of positive integer factors of 54668 that divides 54658 without a remainder.

1, 2, 4, 79, 158, 173, 316, 346, 692, 13667, 27334

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54658 and 54668. The biggest common factor number is the GCF number.
So the greatest common factor 54658 and 54668 is 2.

Also check out the Least Common Multiple of 54658 and 54668