What is the Greatest Common Factor of 89780 and 89796?

Greatest common factor (GCF) of 89780 and 89796 is 4.

GCF(89780,89796) = 4

We will now calculate the prime factors of 89780 and 89796, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89780 and 89796.

How to find the GCF of 89780 and 89796?

We will first find the prime factorization of 89780 and 89796. After we will calculate the factors of 89780 and 89796 and find the biggest common factor number .

Step-1: Prime Factorization of 89780

Prime factors of 89780 are 2, 5, 67. Prime factorization of 89780 in exponential form is:

89780 = 2² × 5¹ × 67²

Step-2: Prime Factorization of 89796

Prime factors of 89796 are 2, 3, 7, 1069. Prime factorization of 89796 in exponential form is:

89796 = 2² × 3¹ × 7¹ × 1069¹

Step-3: Factors of 89780

List of positive integer factors of 89780 that divides 89780 without a remainder.

1, 2, 4, 5, 10, 20, 67, 134, 268, 335, 670, 1340, 4489, 8978, 17956, 22445, 44890

Step-4: Factors of 89796

List of positive integer factors of 89796 that divides 89780 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 1069, 2138, 3207, 4276, 6414, 7483, 12828, 14966, 22449, 29932, 44898

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89780 and 89796. The biggest common factor number is the GCF number.
So the greatest common factor 89780 and 89796 is 4.

Also check out the Least Common Multiple of 89780 and 89796