What is the Greatest Common Factor of 57445 and 57460?

Greatest common factor (GCF) of 57445 and 57460 is 5.

GCF(57445,57460) = 5

We will now calculate the prime factors of 57445 and 57460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57445 and 57460.

How to find the GCF of 57445 and 57460?

We will first find the prime factorization of 57445 and 57460. After we will calculate the factors of 57445 and 57460 and find the biggest common factor number .

Step-1: Prime Factorization of 57445

Prime factors of 57445 are 5, 11489. Prime factorization of 57445 in exponential form is:

57445 = 5¹ × 11489¹

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 57445

List of positive integer factors of 57445 that divides 57445 without a remainder.

1, 5, 11489

Step-4: Factors of 57460

List of positive integer factors of 57460 that divides 57445 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 57445 and 57460. The biggest common factor number is the GCF number.
So the greatest common factor 57445 and 57460 is 5.

Also check out the Least Common Multiple of 57445 and 57460