What is the Greatest Common Factor of 88600 and 88610?

Greatest common factor (GCF) of 88600 and 88610 is 10.

GCF(88600,88610) = 10

We will now calculate the prime factors of 88600 and 88610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88600 and 88610.

How to find the GCF of 88600 and 88610?

We will first find the prime factorization of 88600 and 88610. After we will calculate the factors of 88600 and 88610 and find the biggest common factor number .

Step-1: Prime Factorization of 88600

Prime factors of 88600 are 2, 5, 443. Prime factorization of 88600 in exponential form is:

88600 = 2³ × 5² × 443¹

Step-2: Prime Factorization of 88610

Prime factors of 88610 are 2, 5, 8861. Prime factorization of 88610 in exponential form is:

88610 = 2¹ × 5¹ × 8861¹

Step-3: Factors of 88600

List of positive integer factors of 88600 that divides 88600 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 443, 886, 1772, 2215, 3544, 4430, 8860, 11075, 17720, 22150, 44300

Step-4: Factors of 88610

List of positive integer factors of 88610 that divides 88600 without a remainder.

1, 2, 5, 10, 8861, 17722, 44305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88600 and 88610. The biggest common factor number is the GCF number.
So the greatest common factor 88600 and 88610 is 10.

Also check out the Least Common Multiple of 88600 and 88610