What is the Greatest Common Factor of 98744 and 98760?

Greatest common factor (GCF) of 98744 and 98760 is 8.

GCF(98744,98760) = 8

We will now calculate the prime factors of 98744 and 98760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98744 and 98760.

How to find the GCF of 98744 and 98760?

We will first find the prime factorization of 98744 and 98760. After we will calculate the factors of 98744 and 98760 and find the biggest common factor number .

Step-1: Prime Factorization of 98744

Prime factors of 98744 are 2, 12343. Prime factorization of 98744 in exponential form is:

98744 = 2³ × 12343¹

Step-2: Prime Factorization of 98760

Prime factors of 98760 are 2, 3, 5, 823. Prime factorization of 98760 in exponential form is:

98760 = 2³ × 3¹ × 5¹ × 823¹

Step-3: Factors of 98744

List of positive integer factors of 98744 that divides 98744 without a remainder.

1, 2, 4, 8, 12343, 24686, 49372

Step-4: Factors of 98760

List of positive integer factors of 98760 that divides 98744 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 823, 1646, 2469, 3292, 4115, 4938, 6584, 8230, 9876, 12345, 16460, 19752, 24690, 32920, 49380

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98744 and 98760. The biggest common factor number is the GCF number.
So the greatest common factor 98744 and 98760 is 8.

Also check out the Least Common Multiple of 98744 and 98760