What is the Greatest Common Factor of 89876 and 89880?

Greatest common factor (GCF) of 89876 and 89880 is 4.

GCF(89876,89880) = 4

We will now calculate the prime factors of 89876 and 89880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89876 and 89880.

How to find the GCF of 89876 and 89880?

We will first find the prime factorization of 89876 and 89880. After we will calculate the factors of 89876 and 89880 and find the biggest common factor number .

Step-1: Prime Factorization of 89876

Prime factors of 89876 are 2, 22469. Prime factorization of 89876 in exponential form is:

89876 = 2² × 22469¹

Step-2: 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-3: Factors of 89876

List of positive integer factors of 89876 that divides 89876 without a remainder.

1, 2, 4, 22469, 44938

Step-4: Factors of 89880

List of positive integer factors of 89880 that divides 89876 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89876 and 89880. The biggest common factor number is the GCF number.
So the greatest common factor 89876 and 89880 is 4.

Also check out the Least Common Multiple of 89876 and 89880