What is the Greatest Common Factor of 88892 and 88908?

Greatest common factor (GCF) of 88892 and 88908 is 4.

GCF(88892,88908) = 4

We will now calculate the prime factors of 88892 and 88908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88892 and 88908.

How to find the GCF of 88892 and 88908?

We will first find the prime factorization of 88892 and 88908. After we will calculate the factors of 88892 and 88908 and find the biggest common factor number .

Step-1: Prime Factorization of 88892

Prime factors of 88892 are 2, 71, 313. Prime factorization of 88892 in exponential form is:

88892 = 2² × 71¹ × 313¹

Step-2: Prime Factorization of 88908

Prime factors of 88908 are 2, 3, 31, 239. Prime factorization of 88908 in exponential form is:

88908 = 2² × 3¹ × 31¹ × 239¹

Step-3: Factors of 88892

List of positive integer factors of 88892 that divides 88892 without a remainder.

1, 2, 4, 71, 142, 284, 313, 626, 1252, 22223, 44446

Step-4: Factors of 88908

List of positive integer factors of 88908 that divides 88892 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 239, 372, 478, 717, 956, 1434, 2868, 7409, 14818, 22227, 29636, 44454

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88892 and 88908. The biggest common factor number is the GCF number.
So the greatest common factor 88892 and 88908 is 4.

Also check out the Least Common Multiple of 88892 and 88908