What is the Greatest Common Factor of 87607 and 87620?

Greatest common factor (GCF) of 87607 and 87620 is 13.

GCF(87607,87620) = 13

We will now calculate the prime factors of 87607 and 87620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87607 and 87620.

How to find the GCF of 87607 and 87620?

We will first find the prime factorization of 87607 and 87620. After we will calculate the factors of 87607 and 87620 and find the biggest common factor number .

Step-1: Prime Factorization of 87607

Prime factors of 87607 are 13, 23, 293. Prime factorization of 87607 in exponential form is:

87607 = 13¹ × 23¹ × 293¹

Step-2: 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-3: Factors of 87607

List of positive integer factors of 87607 that divides 87607 without a remainder.

1, 13, 23, 293, 299, 3809, 6739

Step-4: Factors of 87620

List of positive integer factors of 87620 that divides 87607 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87607 and 87620. The biggest common factor number is the GCF number.
So the greatest common factor 87607 and 87620 is 13.

Also check out the Least Common Multiple of 87607 and 87620