What is the Greatest Common Factor of 88092 and 88098?

Greatest common factor (GCF) of 88092 and 88098 is 6.

GCF(88092,88098) = 6

We will now calculate the prime factors of 88092 and 88098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88092 and 88098.

How to find the GCF of 88092 and 88098?

We will first find the prime factorization of 88092 and 88098. After we will calculate the factors of 88092 and 88098 and find the biggest common factor number .

Step-1: Prime Factorization of 88092

Prime factors of 88092 are 2, 3, 2447. Prime factorization of 88092 in exponential form is:

88092 = 2² × 3² × 2447¹

Step-2: Prime Factorization of 88098

Prime factors of 88098 are 2, 3, 14683. Prime factorization of 88098 in exponential form is:

88098 = 2¹ × 3¹ × 14683¹

Step-3: Factors of 88092

List of positive integer factors of 88092 that divides 88092 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2447, 4894, 7341, 9788, 14682, 22023, 29364, 44046

Step-4: Factors of 88098

List of positive integer factors of 88098 that divides 88092 without a remainder.

1, 2, 3, 6, 14683, 29366, 44049

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88092 and 88098. The biggest common factor number is the GCF number.
So the greatest common factor 88092 and 88098 is 6.

Also check out the Least Common Multiple of 88092 and 88098