What is the Greatest Common Factor of 89798 and 89812?

Greatest common factor (GCF) of 89798 and 89812 is 2.

GCF(89798,89812) = 2

We will now calculate the prime factors of 89798 and 89812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89798 and 89812.

How to find the GCF of 89798 and 89812?

We will first find the prime factorization of 89798 and 89812. After we will calculate the factors of 89798 and 89812 and find the biggest common factor number .

Step-1: Prime Factorization of 89798

Prime factors of 89798 are 2, 59, 761. Prime factorization of 89798 in exponential form is:

89798 = 2¹ × 59¹ × 761¹

Step-2: Prime Factorization of 89812

Prime factors of 89812 are 2, 22453. Prime factorization of 89812 in exponential form is:

89812 = 2² × 22453¹

Step-3: Factors of 89798

List of positive integer factors of 89798 that divides 89798 without a remainder.

1, 2, 59, 118, 761, 1522, 44899

Step-4: Factors of 89812

List of positive integer factors of 89812 that divides 89798 without a remainder.

1, 2, 4, 22453, 44906

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89798 and 89812. The biggest common factor number is the GCF number.
So the greatest common factor 89798 and 89812 is 2.

Also check out the Least Common Multiple of 89798 and 89812