What is the Greatest Common Factor of 88886 and 88900?

Greatest common factor (GCF) of 88886 and 88900 is 14.

GCF(88886,88900) = 14

We will now calculate the prime factors of 88886 and 88900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88886 and 88900.

How to find the GCF of 88886 and 88900?

We will first find the prime factorization of 88886 and 88900. After we will calculate the factors of 88886 and 88900 and find the biggest common factor number .

Step-1: Prime Factorization of 88886

Prime factors of 88886 are 2, 7, 907. Prime factorization of 88886 in exponential form is:

88886 = 2¹ × 7² × 907¹

Step-2: Prime Factorization of 88900

Prime factors of 88900 are 2, 5, 7, 127. Prime factorization of 88900 in exponential form is:

88900 = 2² × 5² × 7¹ × 127¹

Step-3: Factors of 88886

List of positive integer factors of 88886 that divides 88886 without a remainder.

1, 2, 7, 14, 49, 98, 907, 1814, 6349, 12698, 44443

Step-4: Factors of 88900

List of positive integer factors of 88900 that divides 88886 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 127, 140, 175, 254, 350, 508, 635, 700, 889, 1270, 1778, 2540, 3175, 3556, 4445, 6350, 8890, 12700, 17780, 22225, 44450

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88886 and 88900. The biggest common factor number is the GCF number.
So the greatest common factor 88886 and 88900 is 14.

Also check out the Least Common Multiple of 88886 and 88900