What is the Greatest Common Factor of 98946 and 98957?

Greatest common factor (GCF) of 98946 and 98957 is 1.

GCF(98946,98957) = 1

We will now calculate the prime factors of 98946 and 98957, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98946 and 98957.

How to find the GCF of 98946 and 98957?

We will first find the prime factorization of 98946 and 98957. After we will calculate the factors of 98946 and 98957 and find the biggest common factor number .

Step-1: Prime Factorization of 98946

Prime factors of 98946 are 2, 3, 23, 239. Prime factorization of 98946 in exponential form is:

98946 = 2¹ × 3² × 23¹ × 239¹

Step-2: Prime Factorization of 98957

Prime factors of 98957 are 17, 5821. Prime factorization of 98957 in exponential form is:

98957 = 17¹ × 5821¹

Step-3: Factors of 98946

List of positive integer factors of 98946 that divides 98946 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 239, 414, 478, 717, 1434, 2151, 4302, 5497, 10994, 16491, 32982, 49473

Step-4: Factors of 98957

List of positive integer factors of 98957 that divides 98946 without a remainder.

1, 17, 5821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98946 and 98957. The biggest common factor number is the GCF number.
So the greatest common factor 98946 and 98957 is 1.

Also check out the Least Common Multiple of 98946 and 98957