What is the Greatest Common Factor of 99638 and 99649?

Greatest common factor (GCF) of 99638 and 99649 is 11.

GCF(99638,99649) = 11

We will now calculate the prime factors of 99638 and 99649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99638 and 99649.

How to find the GCF of 99638 and 99649?

We will first find the prime factorization of 99638 and 99649. After we will calculate the factors of 99638 and 99649 and find the biggest common factor number .

Step-1: Prime Factorization of 99638

Prime factors of 99638 are 2, 7, 11, 647. Prime factorization of 99638 in exponential form is:

99638 = 2¹ × 7¹ × 11¹ × 647¹

Step-2: Prime Factorization of 99649

Prime factors of 99649 are 11, 9059. Prime factorization of 99649 in exponential form is:

99649 = 11¹ × 9059¹

Step-3: Factors of 99638

List of positive integer factors of 99638 that divides 99638 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 647, 1294, 4529, 7117, 9058, 14234, 49819

Step-4: Factors of 99649

List of positive integer factors of 99649 that divides 99638 without a remainder.

1, 11, 9059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99638 and 99649. The biggest common factor number is the GCF number.
So the greatest common factor 99638 and 99649 is 11.

Also check out the Least Common Multiple of 99638 and 99649