What is the Greatest Common Factor of 54712 and 54726?

Greatest common factor (GCF) of 54712 and 54726 is 14.

GCF(54712,54726) = 14

We will now calculate the prime factors of 54712 and 54726, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54712 and 54726.

How to find the GCF of 54712 and 54726?

We will first find the prime factorization of 54712 and 54726. After we will calculate the factors of 54712 and 54726 and find the biggest common factor number .

Step-1: Prime Factorization of 54712

Prime factors of 54712 are 2, 7, 977. Prime factorization of 54712 in exponential form is:

54712 = 2³ × 7¹ × 977¹

Step-2: Prime Factorization of 54726

Prime factors of 54726 are 2, 3, 7, 1303. Prime factorization of 54726 in exponential form is:

54726 = 2¹ × 3¹ × 7¹ × 1303¹

Step-3: Factors of 54712

List of positive integer factors of 54712 that divides 54712 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 977, 1954, 3908, 6839, 7816, 13678, 27356

Step-4: Factors of 54726

List of positive integer factors of 54726 that divides 54712 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1303, 2606, 3909, 7818, 9121, 18242, 27363

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54712 and 54726. The biggest common factor number is the GCF number.
So the greatest common factor 54712 and 54726 is 14.

Also check out the Least Common Multiple of 54712 and 54726