What is the Greatest Common Factor of 57447 and 57460?

Greatest common factor (GCF) of 57447 and 57460 is 13.

GCF(57447,57460) = 13

We will now calculate the prime factors of 57447 and 57460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57447 and 57460.

How to find the GCF of 57447 and 57460?

We will first find the prime factorization of 57447 and 57460. After we will calculate the factors of 57447 and 57460 and find the biggest common factor number .

Step-1: Prime Factorization of 57447

Prime factors of 57447 are 3, 13, 491. Prime factorization of 57447 in exponential form is:

57447 = 3² × 13¹ × 491¹

Step-2: Prime Factorization of 57460

Prime factors of 57460 are 2, 5, 13, 17. Prime factorization of 57460 in exponential form is:

57460 = 2² × 5¹ × 13² × 17¹

Step-3: Factors of 57447

List of positive integer factors of 57447 that divides 57447 without a remainder.

1, 3, 9, 13, 39, 117, 491, 1473, 4419, 6383, 19149

Step-4: Factors of 57460

List of positive integer factors of 57460 that divides 57447 without a remainder.

1, 2, 4, 5, 10, 13, 17, 20, 26, 34, 52, 65, 68, 85, 130, 169, 170, 221, 260, 338, 340, 442, 676, 845, 884, 1105, 1690, 2210, 2873, 3380, 4420, 5746, 11492, 14365, 28730

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57447 and 57460. The biggest common factor number is the GCF number.
So the greatest common factor 57447 and 57460 is 13.

Also check out the Least Common Multiple of 57447 and 57460