What is the Greatest Common Factor of 99638 and 99652?

Greatest common factor (GCF) of 99638 and 99652 is 14.

GCF(99638,99652) = 14

We will now calculate the prime factors of 99638 and 99652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99638 and 99652.

How to find the GCF of 99638 and 99652?

We will first find the prime factorization of 99638 and 99652. After we will calculate the factors of 99638 and 99652 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 99652

Prime factors of 99652 are 2, 7, 3559. Prime factorization of 99652 in exponential form is:

99652 = 2² × 7¹ × 3559¹

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 99652

List of positive integer factors of 99652 that divides 99638 without a remainder.

1, 2, 4, 7, 14, 28, 3559, 7118, 14236, 24913, 49826

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99638 and 99652. The biggest common factor number is the GCF number.
So the greatest common factor 99638 and 99652 is 14.

Also check out the Least Common Multiple of 99638 and 99652