What is the Greatest Common Factor of 98946 and 98964?

Greatest common factor (GCF) of 98946 and 98964 is 18.

GCF(98946,98964) = 18

We will now calculate the prime factors of 98946 and 98964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98946 and 98964.

How to find the GCF of 98946 and 98964?

We will first find the prime factorization of 98946 and 98964. After we will calculate the factors of 98946 and 98964 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 98964

Prime factors of 98964 are 2, 3, 2749. Prime factorization of 98964 in exponential form is:

98964 = 2² × 3² × 2749¹

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 98964

List of positive integer factors of 98964 that divides 98946 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2749, 5498, 8247, 10996, 16494, 24741, 32988, 49482

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98946 and 98964. The biggest common factor number is the GCF number.
So the greatest common factor 98946 and 98964 is 18.

Also check out the Least Common Multiple of 98946 and 98964