What is the Greatest Common Factor of 87598 and 87610?

Greatest common factor (GCF) of 87598 and 87610 is 2.

GCF(87598,87610) = 2

We will now calculate the prime factors of 87598 and 87610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87598 and 87610.

How to find the GCF of 87598 and 87610?

We will first find the prime factorization of 87598 and 87610. After we will calculate the factors of 87598 and 87610 and find the biggest common factor number .

Step-1: Prime Factorization of 87598

Prime factors of 87598 are 2, 7, 6257. Prime factorization of 87598 in exponential form is:

87598 = 2¹ × 7¹ × 6257¹

Step-2: Prime Factorization of 87610

Prime factors of 87610 are 2, 5, 8761. Prime factorization of 87610 in exponential form is:

87610 = 2¹ × 5¹ × 8761¹

Step-3: Factors of 87598

List of positive integer factors of 87598 that divides 87598 without a remainder.

1, 2, 7, 14, 6257, 12514, 43799

Step-4: Factors of 87610

List of positive integer factors of 87610 that divides 87598 without a remainder.

1, 2, 5, 10, 8761, 17522, 43805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87598 and 87610. The biggest common factor number is the GCF number.
So the greatest common factor 87598 and 87610 is 2.

Also check out the Least Common Multiple of 87598 and 87610