What is the Greatest Common Factor of 98632 and 98645?

Greatest common factor (GCF) of 98632 and 98645 is 1.

GCF(98632,98645) = 1

We will now calculate the prime factors of 98632 and 98645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98632 and 98645.

How to find the GCF of 98632 and 98645?

We will first find the prime factorization of 98632 and 98645. After we will calculate the factors of 98632 and 98645 and find the biggest common factor number .

Step-1: Prime Factorization of 98632

Prime factors of 98632 are 2, 12329. Prime factorization of 98632 in exponential form is:

98632 = 2³ × 12329¹

Step-2: Prime Factorization of 98645

Prime factors of 98645 are 5, 109, 181. Prime factorization of 98645 in exponential form is:

98645 = 5¹ × 109¹ × 181¹

Step-3: Factors of 98632

List of positive integer factors of 98632 that divides 98632 without a remainder.

1, 2, 4, 8, 12329, 24658, 49316

Step-4: Factors of 98645

List of positive integer factors of 98645 that divides 98632 without a remainder.

1, 5, 109, 181, 545, 905, 19729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98632 and 98645. The biggest common factor number is the GCF number.
So the greatest common factor 98632 and 98645 is 1.

Also check out the Least Common Multiple of 98632 and 98645