What is the Greatest Common Factor of 57550 and 57560?

Greatest common factor (GCF) of 57550 and 57560 is 10.

GCF(57550,57560) = 10

We will now calculate the prime factors of 57550 and 57560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57550 and 57560.

How to find the GCF of 57550 and 57560?

We will first find the prime factorization of 57550 and 57560. After we will calculate the factors of 57550 and 57560 and find the biggest common factor number .

Step-1: Prime Factorization of 57550

Prime factors of 57550 are 2, 5, 1151. Prime factorization of 57550 in exponential form is:

57550 = 2¹ × 5² × 1151¹

Step-2: Prime Factorization of 57560

Prime factors of 57560 are 2, 5, 1439. Prime factorization of 57560 in exponential form is:

57560 = 2³ × 5¹ × 1439¹

Step-3: Factors of 57550

List of positive integer factors of 57550 that divides 57550 without a remainder.

1, 2, 5, 10, 25, 50, 1151, 2302, 5755, 11510, 28775

Step-4: Factors of 57560

List of positive integer factors of 57560 that divides 57550 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1439, 2878, 5756, 7195, 11512, 14390, 28780

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57550 and 57560. The biggest common factor number is the GCF number.
So the greatest common factor 57550 and 57560 is 10.

Also check out the Least Common Multiple of 57550 and 57560