What is the Greatest Common Factor of 57614 and 57625?

Greatest common factor (GCF) of 57614 and 57625 is 1.

GCF(57614,57625) = 1

We will now calculate the prime factors of 57614 and 57625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57614 and 57625.

How to find the GCF of 57614 and 57625?

We will first find the prime factorization of 57614 and 57625. After we will calculate the factors of 57614 and 57625 and find the biggest common factor number .

Step-1: Prime Factorization of 57614

Prime factors of 57614 are 2, 28807. Prime factorization of 57614 in exponential form is:

57614 = 2¹ × 28807¹

Step-2: Prime Factorization of 57625

Prime factors of 57625 are 5, 461. Prime factorization of 57625 in exponential form is:

57625 = 5³ × 461¹

Step-3: Factors of 57614

List of positive integer factors of 57614 that divides 57614 without a remainder.

1, 2, 28807

Step-4: Factors of 57625

List of positive integer factors of 57625 that divides 57614 without a remainder.

1, 5, 25, 125, 461, 2305, 11525

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57614 and 57625. The biggest common factor number is the GCF number.
So the greatest common factor 57614 and 57625 is 1.

Also check out the Least Common Multiple of 57614 and 57625