What is the Greatest Common Factor of 99640 and 99656?

Greatest common factor (GCF) of 99640 and 99656 is 8.

GCF(99640,99656) = 8

We will now calculate the prime factors of 99640 and 99656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99640 and 99656.

How to find the GCF of 99640 and 99656?

We will first find the prime factorization of 99640 and 99656. After we will calculate the factors of 99640 and 99656 and find the biggest common factor number .

Step-1: Prime Factorization of 99640

Prime factors of 99640 are 2, 5, 47, 53. Prime factorization of 99640 in exponential form is:

99640 = 2³ × 5¹ × 47¹ × 53¹

Step-2: Prime Factorization of 99656

Prime factors of 99656 are 2, 12457. Prime factorization of 99656 in exponential form is:

99656 = 2³ × 12457¹

Step-3: Factors of 99640

List of positive integer factors of 99640 that divides 99640 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 47, 53, 94, 106, 188, 212, 235, 265, 376, 424, 470, 530, 940, 1060, 1880, 2120, 2491, 4982, 9964, 12455, 19928, 24910, 49820

Step-4: Factors of 99656

List of positive integer factors of 99656 that divides 99640 without a remainder.

1, 2, 4, 8, 12457, 24914, 49828

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99640 and 99656. The biggest common factor number is the GCF number.
So the greatest common factor 99640 and 99656 is 8.

Also check out the Least Common Multiple of 99640 and 99656