What is the Greatest Common Factor of 98665 and 98672?

Greatest common factor (GCF) of 98665 and 98672 is 7.

GCF(98665,98672) = 7

We will now calculate the prime factors of 98665 and 98672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98665 and 98672.

How to find the GCF of 98665 and 98672?

We will first find the prime factorization of 98665 and 98672. After we will calculate the factors of 98665 and 98672 and find the biggest common factor number .

Step-1: Prime Factorization of 98665

Prime factors of 98665 are 5, 7, 2819. Prime factorization of 98665 in exponential form is:

98665 = 5¹ × 7¹ × 2819¹

Step-2: Prime Factorization of 98672

Prime factors of 98672 are 2, 7, 881. Prime factorization of 98672 in exponential form is:

98672 = 2⁴ × 7¹ × 881¹

Step-3: Factors of 98665

List of positive integer factors of 98665 that divides 98665 without a remainder.

1, 5, 7, 35, 2819, 14095, 19733

Step-4: Factors of 98672

List of positive integer factors of 98672 that divides 98665 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 881, 1762, 3524, 6167, 7048, 12334, 14096, 24668, 49336

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98665 and 98672. The biggest common factor number is the GCF number.
So the greatest common factor 98665 and 98672 is 7.

Also check out the Least Common Multiple of 98665 and 98672