What is the Greatest Common Factor of 98524 and 98544?

Greatest common factor (GCF) of 98524 and 98544 is 4.

GCF(98524,98544) = 4

We will now calculate the prime factors of 98524 and 98544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98524 and 98544.

How to find the GCF of 98524 and 98544?

We will first find the prime factorization of 98524 and 98544. After we will calculate the factors of 98524 and 98544 and find the biggest common factor number .

Step-1: Prime Factorization of 98524

Prime factors of 98524 are 2, 24631. Prime factorization of 98524 in exponential form is:

98524 = 2² × 24631¹

Step-2: Prime Factorization of 98544

Prime factors of 98544 are 2, 3, 2053. Prime factorization of 98544 in exponential form is:

98544 = 2⁴ × 3¹ × 2053¹

Step-3: Factors of 98524

List of positive integer factors of 98524 that divides 98524 without a remainder.

1, 2, 4, 24631, 49262

Step-4: Factors of 98544

List of positive integer factors of 98544 that divides 98524 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 2053, 4106, 6159, 8212, 12318, 16424, 24636, 32848, 49272

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98524 and 98544. The biggest common factor number is the GCF number.
So the greatest common factor 98524 and 98544 is 4.

Also check out the Least Common Multiple of 98524 and 98544