What is the Greatest Common Factor of 89672 and 89684?

Greatest common factor (GCF) of 89672 and 89684 is 4.

GCF(89672,89684) = 4

We will now calculate the prime factors of 89672 and 89684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89672 and 89684.

How to find the GCF of 89672 and 89684?

We will first find the prime factorization of 89672 and 89684. After we will calculate the factors of 89672 and 89684 and find the biggest common factor number .

Step-1: Prime Factorization of 89672

Prime factors of 89672 are 2, 11, 1019. Prime factorization of 89672 in exponential form is:

89672 = 2³ × 11¹ × 1019¹

Step-2: Prime Factorization of 89684

Prime factors of 89684 are 2, 7, 3203. Prime factorization of 89684 in exponential form is:

89684 = 2² × 7¹ × 3203¹

Step-3: Factors of 89672

List of positive integer factors of 89672 that divides 89672 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 1019, 2038, 4076, 8152, 11209, 22418, 44836

Step-4: Factors of 89684

List of positive integer factors of 89684 that divides 89672 without a remainder.

1, 2, 4, 7, 14, 28, 3203, 6406, 12812, 22421, 44842

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89672 and 89684. The biggest common factor number is the GCF number.
So the greatest common factor 89672 and 89684 is 4.

Also check out the Least Common Multiple of 89672 and 89684