What is the Greatest Common Factor of 57542 and 57560?

Greatest common factor (GCF) of 57542 and 57560 is 2.

GCF(57542,57560) = 2

We will now calculate the prime factors of 57542 and 57560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57542 and 57560.

How to find the GCF of 57542 and 57560?

We will first find the prime factorization of 57542 and 57560. After we will calculate the factors of 57542 and 57560 and find the biggest common factor number .

Step-1: Prime Factorization of 57542

Prime factors of 57542 are 2, 28771. Prime factorization of 57542 in exponential form is:

57542 = 2¹ × 28771¹

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 57542

List of positive integer factors of 57542 that divides 57542 without a remainder.

1, 2, 28771

Step-4: Factors of 57560

List of positive integer factors of 57560 that divides 57542 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 57542 and 57560. The biggest common factor number is the GCF number.
So the greatest common factor 57542 and 57560 is 2.

Also check out the Least Common Multiple of 57542 and 57560