What is the Greatest Common Factor of 98739 and 98748?

Greatest common factor (GCF) of 98739 and 98748 is 9.

GCF(98739,98748) = 9

We will now calculate the prime factors of 98739 and 98748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98739 and 98748.

How to find the GCF of 98739 and 98748?

We will first find the prime factorization of 98739 and 98748. After we will calculate the factors of 98739 and 98748 and find the biggest common factor number .

Step-1: Prime Factorization of 98739

Prime factors of 98739 are 3, 23, 53. Prime factorization of 98739 in exponential form is:

98739 = 3⁴ × 23¹ × 53¹

Step-2: 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-3: Factors of 98739

List of positive integer factors of 98739 that divides 98739 without a remainder.

1, 3, 9, 23, 27, 53, 69, 81, 159, 207, 477, 621, 1219, 1431, 1863, 3657, 4293, 10971, 32913

Step-4: Factors of 98748

List of positive integer factors of 98748 that divides 98739 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98739 and 98748. The biggest common factor number is the GCF number.
So the greatest common factor 98739 and 98748 is 9.

Also check out the Least Common Multiple of 98739 and 98748