What is the Greatest Common Factor of 98955 and 98970?

Greatest common factor (GCF) of 98955 and 98970 is 15.

GCF(98955,98970) = 15

We will now calculate the prime factors of 98955 and 98970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98955 and 98970.

How to find the GCF of 98955 and 98970?

We will first find the prime factorization of 98955 and 98970. After we will calculate the factors of 98955 and 98970 and find the biggest common factor number .

Step-1: Prime Factorization of 98955

Prime factors of 98955 are 3, 5, 733. Prime factorization of 98955 in exponential form is:

98955 = 3³ × 5¹ × 733¹

Step-2: Prime Factorization of 98970

Prime factors of 98970 are 2, 3, 5, 3299. Prime factorization of 98970 in exponential form is:

98970 = 2¹ × 3¹ × 5¹ × 3299¹

Step-3: Factors of 98955

List of positive integer factors of 98955 that divides 98955 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 733, 2199, 3665, 6597, 10995, 19791, 32985

Step-4: Factors of 98970

List of positive integer factors of 98970 that divides 98955 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3299, 6598, 9897, 16495, 19794, 32990, 49485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98955 and 98970. The biggest common factor number is the GCF number.
So the greatest common factor 98955 and 98970 is 15.

Also check out the Least Common Multiple of 98955 and 98970