What is the Greatest Common Factor of 98644 and 98657?

Greatest common factor (GCF) of 98644 and 98657 is 13.

GCF(98644,98657) = 13

We will now calculate the prime factors of 98644 and 98657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98644 and 98657.

How to find the GCF of 98644 and 98657?

We will first find the prime factorization of 98644 and 98657. After we will calculate the factors of 98644 and 98657 and find the biggest common factor number .

Step-1: Prime Factorization of 98644

Prime factors of 98644 are 2, 7, 13, 271. Prime factorization of 98644 in exponential form is:

98644 = 2² × 7¹ × 13¹ × 271¹

Step-2: Prime Factorization of 98657

Prime factors of 98657 are 13, 7589. Prime factorization of 98657 in exponential form is:

98657 = 13¹ × 7589¹

Step-3: Factors of 98644

List of positive integer factors of 98644 that divides 98644 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 271, 364, 542, 1084, 1897, 3523, 3794, 7046, 7588, 14092, 24661, 49322

Step-4: Factors of 98657

List of positive integer factors of 98657 that divides 98644 without a remainder.

1, 13, 7589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98644 and 98657. The biggest common factor number is the GCF number.
So the greatest common factor 98644 and 98657 is 13.

Also check out the Least Common Multiple of 98644 and 98657