What is the Greatest Common Factor of 98538 and 98548?

Greatest common factor (GCF) of 98538 and 98548 is 2.

GCF(98538,98548) = 2

We will now calculate the prime factors of 98538 and 98548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98538 and 98548.

How to find the GCF of 98538 and 98548?

We will first find the prime factorization of 98538 and 98548. After we will calculate the factors of 98538 and 98548 and find the biggest common factor number .

Step-1: Prime Factorization of 98538

Prime factors of 98538 are 2, 3, 11, 1493. Prime factorization of 98538 in exponential form is:

98538 = 2¹ × 3¹ × 11¹ × 1493¹

Step-2: Prime Factorization of 98548

Prime factors of 98548 are 2, 71, 347. Prime factorization of 98548 in exponential form is:

98548 = 2² × 71¹ × 347¹

Step-3: Factors of 98538

List of positive integer factors of 98538 that divides 98538 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1493, 2986, 4479, 8958, 16423, 32846, 49269

Step-4: Factors of 98548

List of positive integer factors of 98548 that divides 98538 without a remainder.

1, 2, 4, 71, 142, 284, 347, 694, 1388, 24637, 49274

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98538 and 98548. The biggest common factor number is the GCF number.
So the greatest common factor 98538 and 98548 is 2.

Also check out the Least Common Multiple of 98538 and 98548