What is the Greatest Common Factor of 88086 and 88100?

Greatest common factor (GCF) of 88086 and 88100 is 2.

GCF(88086,88100) = 2

We will now calculate the prime factors of 88086 and 88100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88086 and 88100.

How to find the GCF of 88086 and 88100?

We will first find the prime factorization of 88086 and 88100. After we will calculate the factors of 88086 and 88100 and find the biggest common factor number .

Step-1: Prime Factorization of 88086

Prime factors of 88086 are 2, 3, 53, 277. Prime factorization of 88086 in exponential form is:

88086 = 2¹ × 3¹ × 53¹ × 277¹

Step-2: Prime Factorization of 88100

Prime factors of 88100 are 2, 5, 881. Prime factorization of 88100 in exponential form is:

88100 = 2² × 5² × 881¹

Step-3: Factors of 88086

List of positive integer factors of 88086 that divides 88086 without a remainder.

1, 2, 3, 6, 53, 106, 159, 277, 318, 554, 831, 1662, 14681, 29362, 44043

Step-4: Factors of 88100

List of positive integer factors of 88100 that divides 88086 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 881, 1762, 3524, 4405, 8810, 17620, 22025, 44050

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88086 and 88100. The biggest common factor number is the GCF number.
So the greatest common factor 88086 and 88100 is 2.

Also check out the Least Common Multiple of 88086 and 88100