What is the Greatest Common Factor of 99420 and 99430?

Greatest common factor (GCF) of 99420 and 99430 is 10.

GCF(99420,99430) = 10

We will now calculate the prime factors of 99420 and 99430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99420 and 99430.

How to find the GCF of 99420 and 99430?

We will first find the prime factorization of 99420 and 99430. After we will calculate the factors of 99420 and 99430 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 99430

Prime factors of 99430 are 2, 5, 61, 163. Prime factorization of 99430 in exponential form is:

99430 = 2¹ × 5¹ × 61¹ × 163¹

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 99430

List of positive integer factors of 99430 that divides 99420 without a remainder.

1, 2, 5, 10, 61, 122, 163, 305, 326, 610, 815, 1630, 9943, 19886, 49715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99420 and 99430. The biggest common factor number is the GCF number.
So the greatest common factor 99420 and 99430 is 10.

Also check out the Least Common Multiple of 99420 and 99430