What is the Greatest Common Factor of 98568 and 98574?

Greatest common factor (GCF) of 98568 and 98574 is 6.

GCF(98568,98574) = 6

We will now calculate the prime factors of 98568 and 98574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98568 and 98574.

How to find the GCF of 98568 and 98574?

We will first find the prime factorization of 98568 and 98574. After we will calculate the factors of 98568 and 98574 and find the biggest common factor number .

Step-1: Prime Factorization of 98568

Prime factors of 98568 are 2, 3, 37. Prime factorization of 98568 in exponential form is:

98568 = 2³ × 3² × 37²

Step-2: Prime Factorization of 98574

Prime factors of 98574 are 2, 3, 7, 2347. Prime factorization of 98574 in exponential form is:

98574 = 2¹ × 3¹ × 7¹ × 2347¹

Step-3: Factors of 98568

List of positive integer factors of 98568 that divides 98568 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 37, 72, 74, 111, 148, 222, 296, 333, 444, 666, 888, 1332, 1369, 2664, 2738, 4107, 5476, 8214, 10952, 12321, 16428, 24642, 32856, 49284

Step-4: Factors of 98574

List of positive integer factors of 98574 that divides 98568 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2347, 4694, 7041, 14082, 16429, 32858, 49287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98568 and 98574. The biggest common factor number is the GCF number.
So the greatest common factor 98568 and 98574 is 6.

Also check out the Least Common Multiple of 98568 and 98574