What is the Greatest Common Factor of 98748 and 98758?

Greatest common factor (GCF) of 98748 and 98758 is 2.

GCF(98748,98758) = 2

We will now calculate the prime factors of 98748 and 98758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98748 and 98758.

How to find the GCF of 98748 and 98758?

We will first find the prime factorization of 98748 and 98758. After we will calculate the factors of 98748 and 98758 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 98758

Prime factors of 98758 are 2, 11, 67. Prime factorization of 98758 in exponential form is:

98758 = 2¹ × 11¹ × 67²

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 98758

List of positive integer factors of 98758 that divides 98748 without a remainder.

1, 2, 11, 22, 67, 134, 737, 1474, 4489, 8978, 49379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98748 and 98758. The biggest common factor number is the GCF number.
So the greatest common factor 98748 and 98758 is 2.

Also check out the Least Common Multiple of 98748 and 98758