What is the Greatest Common Factor of 99658 and 99674?

Greatest common factor (GCF) of 99658 and 99674 is 2.

GCF(99658,99674) = 2

We will now calculate the prime factors of 99658 and 99674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99658 and 99674.

How to find the GCF of 99658 and 99674?

We will first find the prime factorization of 99658 and 99674. After we will calculate the factors of 99658 and 99674 and find the biggest common factor number .

Step-1: Prime Factorization of 99658

Prime factors of 99658 are 2, 13, 3833. Prime factorization of 99658 in exponential form is:

99658 = 2¹ × 13¹ × 3833¹

Step-2: Prime Factorization of 99674

Prime factors of 99674 are 2, 19, 43, 61. Prime factorization of 99674 in exponential form is:

99674 = 2¹ × 19¹ × 43¹ × 61¹

Step-3: Factors of 99658

List of positive integer factors of 99658 that divides 99658 without a remainder.

1, 2, 13, 26, 3833, 7666, 49829

Step-4: Factors of 99674

List of positive integer factors of 99674 that divides 99658 without a remainder.

1, 2, 19, 38, 43, 61, 86, 122, 817, 1159, 1634, 2318, 2623, 5246, 49837

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99658 and 99674. The biggest common factor number is the GCF number.
So the greatest common factor 99658 and 99674 is 2.

Also check out the Least Common Multiple of 99658 and 99674