What is the Greatest Common Factor of 99420 and 99440?

Greatest common factor (GCF) of 99420 and 99440 is 20.

GCF(99420,99440) = 20

We will now calculate the prime factors of 99420 and 99440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99420 and 99440.

How to find the GCF of 99420 and 99440?

We will first find the prime factorization of 99420 and 99440. After we will calculate the factors of 99420 and 99440 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 99440

Prime factors of 99440 are 2, 5, 11, 113. Prime factorization of 99440 in exponential form is:

99440 = 2⁴ × 5¹ × 11¹ × 113¹

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 99440

List of positive integer factors of 99440 that divides 99420 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 113, 176, 220, 226, 440, 452, 565, 880, 904, 1130, 1243, 1808, 2260, 2486, 4520, 4972, 6215, 9040, 9944, 12430, 19888, 24860, 49720

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99420 and 99440. The biggest common factor number is the GCF number.
So the greatest common factor 99420 and 99440 is 20.

Also check out the Least Common Multiple of 99420 and 99440