What is the Greatest Common Factor of 89908 and 89916?

Greatest common factor (GCF) of 89908 and 89916 is 4.

GCF(89908,89916) = 4

We will now calculate the prime factors of 89908 and 89916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89908 and 89916.

How to find the GCF of 89908 and 89916?

We will first find the prime factorization of 89908 and 89916. After we will calculate the factors of 89908 and 89916 and find the biggest common factor number .

Step-1: Prime Factorization of 89908

Prime factors of 89908 are 2, 7, 13, 19. Prime factorization of 89908 in exponential form is:

89908 = 2² × 7¹ × 13² × 19¹

Step-2: Prime Factorization of 89916

Prime factors of 89916 are 2, 3, 59, 127. Prime factorization of 89916 in exponential form is:

89916 = 2² × 3¹ × 59¹ × 127¹

Step-3: Factors of 89908

List of positive integer factors of 89908 that divides 89908 without a remainder.

1, 2, 4, 7, 13, 14, 19, 26, 28, 38, 52, 76, 91, 133, 169, 182, 247, 266, 338, 364, 494, 532, 676, 988, 1183, 1729, 2366, 3211, 3458, 4732, 6422, 6916, 12844, 22477, 44954

Step-4: Factors of 89916

List of positive integer factors of 89916 that divides 89908 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 127, 177, 236, 254, 354, 381, 508, 708, 762, 1524, 7493, 14986, 22479, 29972, 44958

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89908 and 89916. The biggest common factor number is the GCF number.
So the greatest common factor 89908 and 89916 is 4.

Also check out the Least Common Multiple of 89908 and 89916