What is the Greatest Common Factor of 57560 and 57568?

Greatest common factor (GCF) of 57560 and 57568 is 8.

GCF(57560,57568) = 8

We will now calculate the prime factors of 57560 and 57568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57560 and 57568.

How to find the GCF of 57560 and 57568?

We will first find the prime factorization of 57560 and 57568. After we will calculate the factors of 57560 and 57568 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 57568

Prime factors of 57568 are 2, 7, 257. Prime factorization of 57568 in exponential form is:

57568 = 2⁵ × 7¹ × 257¹

Step-3: Factors of 57560

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

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

Step-4: Factors of 57568

List of positive integer factors of 57568 that divides 57560 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 257, 514, 1028, 1799, 2056, 3598, 4112, 7196, 8224, 14392, 28784

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57560 and 57568. The biggest common factor number is the GCF number.
So the greatest common factor 57560 and 57568 is 8.

Also check out the Least Common Multiple of 57560 and 57568