What is the Greatest Common Factor of 98520 and 98535?

Greatest common factor (GCF) of 98520 and 98535 is 15.

GCF(98520,98535) = 15

We will now calculate the prime factors of 98520 and 98535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98520 and 98535.

How to find the GCF of 98520 and 98535?

We will first find the prime factorization of 98520 and 98535. After we will calculate the factors of 98520 and 98535 and find the biggest common factor number .

Step-1: Prime Factorization of 98520

Prime factors of 98520 are 2, 3, 5, 821. Prime factorization of 98520 in exponential form is:

98520 = 2³ × 3¹ × 5¹ × 821¹

Step-2: Prime Factorization of 98535

Prime factors of 98535 are 3, 5, 6569. Prime factorization of 98535 in exponential form is:

98535 = 3¹ × 5¹ × 6569¹

Step-3: Factors of 98520

List of positive integer factors of 98520 that divides 98520 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 821, 1642, 2463, 3284, 4105, 4926, 6568, 8210, 9852, 12315, 16420, 19704, 24630, 32840, 49260

Step-4: Factors of 98535

List of positive integer factors of 98535 that divides 98520 without a remainder.

1, 3, 5, 15, 6569, 19707, 32845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98520 and 98535. The biggest common factor number is the GCF number.
So the greatest common factor 98520 and 98535 is 15.

Also check out the Least Common Multiple of 98520 and 98535