What is the Greatest Common Factor of 99012 and 99020?

Greatest common factor (GCF) of 99012 and 99020 is 4.

GCF(99012,99020) = 4

We will now calculate the prime factors of 99012 and 99020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99012 and 99020.

How to find the GCF of 99012 and 99020?

We will first find the prime factorization of 99012 and 99020. After we will calculate the factors of 99012 and 99020 and find the biggest common factor number .

Step-1: Prime Factorization of 99012

Prime factors of 99012 are 2, 3, 37, 223. Prime factorization of 99012 in exponential form is:

99012 = 2² × 3¹ × 37¹ × 223¹

Step-2: Prime Factorization of 99020

Prime factors of 99020 are 2, 5, 4951. Prime factorization of 99020 in exponential form is:

99020 = 2² × 5¹ × 4951¹

Step-3: Factors of 99012

List of positive integer factors of 99012 that divides 99012 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 223, 444, 446, 669, 892, 1338, 2676, 8251, 16502, 24753, 33004, 49506

Step-4: Factors of 99020

List of positive integer factors of 99020 that divides 99012 without a remainder.

1, 2, 4, 5, 10, 20, 4951, 9902, 19804, 24755, 49510

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99012 and 99020. The biggest common factor number is the GCF number.
So the greatest common factor 99012 and 99020 is 4.

Also check out the Least Common Multiple of 99012 and 99020