What is the Greatest Common Factor of 99420 and 99426?

Greatest common factor (GCF) of 99420 and 99426 is 6.

GCF(99420,99426) = 6

We will now calculate the prime factors of 99420 and 99426, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99420 and 99426.

How to find the GCF of 99420 and 99426?

We will first find the prime factorization of 99420 and 99426. After we will calculate the factors of 99420 and 99426 and find the biggest common factor number .

Step-1: Prime Factorization of 99420

Prime factors of 99420 are 2, 3, 5, 1657. Prime factorization of 99420 in exponential form is:

99420 = 2² × 3¹ × 5¹ × 1657¹

Step-2: Prime Factorization of 99426

Prime factors of 99426 are 2, 3, 73, 227. Prime factorization of 99426 in exponential form is:

99426 = 2¹ × 3¹ × 73¹ × 227¹

Step-3: Factors of 99420

List of positive integer factors of 99420 that divides 99420 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1657, 3314, 4971, 6628, 8285, 9942, 16570, 19884, 24855, 33140, 49710

Step-4: Factors of 99426

List of positive integer factors of 99426 that divides 99420 without a remainder.

1, 2, 3, 6, 73, 146, 219, 227, 438, 454, 681, 1362, 16571, 33142, 49713

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99420 and 99426. The biggest common factor number is the GCF number.
So the greatest common factor 99420 and 99426 is 6.

Also check out the Least Common Multiple of 99420 and 99426