What is the Greatest Common Factor of 98748 and 98760?

Greatest common factor (GCF) of 98748 and 98760 is 12.

GCF(98748,98760) = 12

We will now calculate the prime factors of 98748 and 98760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98748 and 98760.

How to find the GCF of 98748 and 98760?

We will first find the prime factorization of 98748 and 98760. After we will calculate the factors of 98748 and 98760 and find the biggest common factor number .

Step-1: Prime Factorization of 98748

Prime factors of 98748 are 2, 3, 13, 211. Prime factorization of 98748 in exponential form is:

98748 = 2² × 3² × 13¹ × 211¹

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 98748

List of positive integer factors of 98748 that divides 98748 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 211, 234, 422, 468, 633, 844, 1266, 1899, 2532, 2743, 3798, 5486, 7596, 8229, 10972, 16458, 24687, 32916, 49374

Step-4: Factors of 98760

List of positive integer factors of 98760 that divides 98748 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 98748 and 98760. The biggest common factor number is the GCF number.
So the greatest common factor 98748 and 98760 is 12.

Also check out the Least Common Multiple of 98748 and 98760