What is the Greatest Common Factor of 54705 and 54712?

Greatest common factor (GCF) of 54705 and 54712 is 7.

GCF(54705,54712) = 7

We will now calculate the prime factors of 54705 and 54712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54705 and 54712.

How to find the GCF of 54705 and 54712?

We will first find the prime factorization of 54705 and 54712. After we will calculate the factors of 54705 and 54712 and find the biggest common factor number .

Step-1: Prime Factorization of 54705

Prime factors of 54705 are 3, 5, 7, 521. Prime factorization of 54705 in exponential form is:

54705 = 3¹ × 5¹ × 7¹ × 521¹

Step-2: 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-3: Factors of 54705

List of positive integer factors of 54705 that divides 54705 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 521, 1563, 2605, 3647, 7815, 10941, 18235

Step-4: Factors of 54712

List of positive integer factors of 54712 that divides 54705 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54705 and 54712. The biggest common factor number is the GCF number.
So the greatest common factor 54705 and 54712 is 7.

Also check out the Least Common Multiple of 54705 and 54712