What is the Greatest Common Factor of 99420 and 99435?

Greatest common factor (GCF) of 99420 and 99435 is 15.

GCF(99420,99435) = 15

We will now calculate the prime factors of 99420 and 99435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99420 and 99435.

How to find the GCF of 99420 and 99435?

We will first find the prime factorization of 99420 and 99435. After we will calculate the factors of 99420 and 99435 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 99435

Prime factors of 99435 are 3, 5, 7, 947. Prime factorization of 99435 in exponential form is:

99435 = 3¹ × 5¹ × 7¹ × 947¹

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 99435

List of positive integer factors of 99435 that divides 99420 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 947, 2841, 4735, 6629, 14205, 19887, 33145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99420 and 99435. The biggest common factor number is the GCF number.
So the greatest common factor 99420 and 99435 is 15.

Also check out the Least Common Multiple of 99420 and 99435