What is the Greatest Common Factor of 89900 and 89908?

Greatest common factor (GCF) of 89900 and 89908 is 4.

GCF(89900,89908) = 4

We will now calculate the prime factors of 89900 and 89908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89900 and 89908.

How to find the GCF of 89900 and 89908?

We will first find the prime factorization of 89900 and 89908. After we will calculate the factors of 89900 and 89908 and find the biggest common factor number .

Step-1: Prime Factorization of 89900

Prime factors of 89900 are 2, 5, 29, 31. Prime factorization of 89900 in exponential form is:

89900 = 2² × 5² × 29¹ × 31¹

Step-2: 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-3: Factors of 89900

List of positive integer factors of 89900 that divides 89900 without a remainder.

1, 2, 4, 5, 10, 20, 25, 29, 31, 50, 58, 62, 100, 116, 124, 145, 155, 290, 310, 580, 620, 725, 775, 899, 1450, 1550, 1798, 2900, 3100, 3596, 4495, 8990, 17980, 22475, 44950

Step-4: Factors of 89908

List of positive integer factors of 89908 that divides 89900 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89900 and 89908. The biggest common factor number is the GCF number.
So the greatest common factor 89900 and 89908 is 4.

Also check out the Least Common Multiple of 89900 and 89908