What is the Greatest Common Factor of 98626 and 98637?

Greatest common factor (GCF) of 98626 and 98637 is 11.

GCF(98626,98637) = 11

We will now calculate the prime factors of 98626 and 98637, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98626 and 98637.

How to find the GCF of 98626 and 98637?

We will first find the prime factorization of 98626 and 98637. After we will calculate the factors of 98626 and 98637 and find the biggest common factor number .

Step-1: Prime Factorization of 98626

Prime factors of 98626 are 2, 11, 4483. Prime factorization of 98626 in exponential form is:

98626 = 2¹ × 11¹ × 4483¹

Step-2: Prime Factorization of 98637

Prime factors of 98637 are 3, 7, 11, 61. Prime factorization of 98637 in exponential form is:

98637 = 3¹ × 7² × 11¹ × 61¹

Step-3: Factors of 98626

List of positive integer factors of 98626 that divides 98626 without a remainder.

1, 2, 11, 22, 4483, 8966, 49313

Step-4: Factors of 98637

List of positive integer factors of 98637 that divides 98626 without a remainder.

1, 3, 7, 11, 21, 33, 49, 61, 77, 147, 183, 231, 427, 539, 671, 1281, 1617, 2013, 2989, 4697, 8967, 14091, 32879

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98626 and 98637. The biggest common factor number is the GCF number.
So the greatest common factor 98626 and 98637 is 11.

Also check out the Least Common Multiple of 98626 and 98637