What is the Greatest Common Factor of 98750 and 98760?

Greatest common factor (GCF) of 98750 and 98760 is 10.

GCF(98750,98760) = 10

We will now calculate the prime factors of 98750 and 98760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98750 and 98760.

How to find the GCF of 98750 and 98760?

We will first find the prime factorization of 98750 and 98760. After we will calculate the factors of 98750 and 98760 and find the biggest common factor number .

Step-1: Prime Factorization of 98750

Prime factors of 98750 are 2, 5, 79. Prime factorization of 98750 in exponential form is:

98750 = 2¹ × 5⁴ × 79¹

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 98750

List of positive integer factors of 98750 that divides 98750 without a remainder.

1, 2, 5, 10, 25, 50, 79, 125, 158, 250, 395, 625, 790, 1250, 1975, 3950, 9875, 19750, 49375

Step-4: Factors of 98760

List of positive integer factors of 98760 that divides 98750 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 98750 and 98760. The biggest common factor number is the GCF number.
So the greatest common factor 98750 and 98760 is 10.

Also check out the Least Common Multiple of 98750 and 98760