What is the Greatest Common Factor of 89880 and 89895?

Greatest common factor (GCF) of 89880 and 89895 is 15.

GCF(89880,89895) = 15

We will now calculate the prime factors of 89880 and 89895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89880 and 89895.

How to find the GCF of 89880 and 89895?

We will first find the prime factorization of 89880 and 89895. After we will calculate the factors of 89880 and 89895 and find the biggest common factor number .

Step-1: Prime Factorization of 89880

Prime factors of 89880 are 2, 3, 5, 7, 107. Prime factorization of 89880 in exponential form is:

89880 = 2³ × 3¹ × 5¹ × 7¹ × 107¹

Step-2: 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-3: Factors of 89880

List of positive integer factors of 89880 that divides 89880 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 107, 120, 140, 168, 210, 214, 280, 321, 420, 428, 535, 642, 749, 840, 856, 1070, 1284, 1498, 1605, 2140, 2247, 2568, 2996, 3210, 3745, 4280, 4494, 5992, 6420, 7490, 8988, 11235, 12840, 14980, 17976, 22470, 29960, 44940

Step-4: Factors of 89895

List of positive integer factors of 89895 that divides 89880 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89880 and 89895. The biggest common factor number is the GCF number.
So the greatest common factor 89880 and 89895 is 15.

Also check out the Least Common Multiple of 89880 and 89895