What is the Greatest Common Factor of 89895 and 89908?

Greatest common factor (GCF) of 89895 and 89908 is 13.

GCF(89895,89908) = 13

We will now calculate the prime factors of 89895 and 89908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89895 and 89908.

How to find the GCF of 89895 and 89908?

We will first find the prime factorization of 89895 and 89908. After we will calculate the factors of 89895 and 89908 and find the biggest common factor number .

Step-1: Prime Factorization of 89895

Prime factors of 89895 are 3, 5, 13, 461. Prime factorization of 89895 in exponential form is:

89895 = 3¹ × 5¹ × 13¹ × 461¹

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 89895

List of positive integer factors of 89895 that divides 89895 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 461, 1383, 2305, 5993, 6915, 17979, 29965

Step-4: Factors of 89908

List of positive integer factors of 89908 that divides 89895 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 89895 and 89908. The biggest common factor number is the GCF number.
So the greatest common factor 89895 and 89908 is 13.

Also check out the Least Common Multiple of 89895 and 89908