What is the Greatest Common Factor of 87620 and 87625?

Greatest common factor (GCF) of 87620 and 87625 is 5.

GCF(87620,87625) = 5

We will now calculate the prime factors of 87620 and 87625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87620 and 87625.

How to find the GCF of 87620 and 87625?

We will first find the prime factorization of 87620 and 87625. After we will calculate the factors of 87620 and 87625 and find the biggest common factor number .

Step-1: Prime Factorization of 87620

Prime factors of 87620 are 2, 5, 13, 337. Prime factorization of 87620 in exponential form is:

87620 = 2² × 5¹ × 13¹ × 337¹

Step-2: Prime Factorization of 87625

Prime factors of 87625 are 5, 701. Prime factorization of 87625 in exponential form is:

87625 = 5³ × 701¹

Step-3: Factors of 87620

List of positive integer factors of 87620 that divides 87620 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260, 337, 674, 1348, 1685, 3370, 4381, 6740, 8762, 17524, 21905, 43810

Step-4: Factors of 87625

List of positive integer factors of 87625 that divides 87620 without a remainder.

1, 5, 25, 125, 701, 3505, 17525

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87620 and 87625. The biggest common factor number is the GCF number.
So the greatest common factor 87620 and 87625 is 5.

Also check out the Least Common Multiple of 87620 and 87625