What is the Greatest Common Factor of 99620 and 99636?

Greatest common factor (GCF) of 99620 and 99636 is 4.

GCF(99620,99636) = 4

We will now calculate the prime factors of 99620 and 99636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99620 and 99636.

How to find the GCF of 99620 and 99636?

We will first find the prime factorization of 99620 and 99636. After we will calculate the factors of 99620 and 99636 and find the biggest common factor number .

Step-1: Prime Factorization of 99620

Prime factors of 99620 are 2, 5, 17, 293. Prime factorization of 99620 in exponential form is:

99620 = 2² × 5¹ × 17¹ × 293¹

Step-2: Prime Factorization of 99636

Prime factors of 99636 are 2, 3, 19, 23. Prime factorization of 99636 in exponential form is:

99636 = 2² × 3¹ × 19² × 23¹

Step-3: Factors of 99620

List of positive integer factors of 99620 that divides 99620 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 293, 340, 586, 1172, 1465, 2930, 4981, 5860, 9962, 19924, 24905, 49810

Step-4: Factors of 99636

List of positive integer factors of 99636 that divides 99620 without a remainder.

1, 2, 3, 4, 6, 12, 19, 23, 38, 46, 57, 69, 76, 92, 114, 138, 228, 276, 361, 437, 722, 874, 1083, 1311, 1444, 1748, 2166, 2622, 4332, 5244, 8303, 16606, 24909, 33212, 49818

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99620 and 99636. The biggest common factor number is the GCF number.
So the greatest common factor 99620 and 99636 is 4.

Also check out the Least Common Multiple of 99620 and 99636