What is the Greatest Common Factor of 99626 and 99638?

Greatest common factor (GCF) of 99626 and 99638 is 2.

GCF(99626,99638) = 2

We will now calculate the prime factors of 99626 and 99638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99626 and 99638.

How to find the GCF of 99626 and 99638?

We will first find the prime factorization of 99626 and 99638. After we will calculate the factors of 99626 and 99638 and find the biggest common factor number .

Step-1: Prime Factorization of 99626

Prime factors of 99626 are 2, 109, 457. Prime factorization of 99626 in exponential form is:

99626 = 2¹ × 109¹ × 457¹

Step-2: 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-3: Factors of 99626

List of positive integer factors of 99626 that divides 99626 without a remainder.

1, 2, 109, 218, 457, 914, 49813

Step-4: Factors of 99638

List of positive integer factors of 99638 that divides 99626 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99626 and 99638. The biggest common factor number is the GCF number.
So the greatest common factor 99626 and 99638 is 2.

Also check out the Least Common Multiple of 99626 and 99638