What is the Greatest Common Factor of 99444 and 99460?

Greatest common factor (GCF) of 99444 and 99460 is 4.

GCF(99444,99460) = 4

We will now calculate the prime factors of 99444 and 99460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99444 and 99460.

How to find the GCF of 99444 and 99460?

We will first find the prime factorization of 99444 and 99460. After we will calculate the factors of 99444 and 99460 and find the biggest common factor number .

Step-1: Prime Factorization of 99444

Prime factors of 99444 are 2, 3, 8287. Prime factorization of 99444 in exponential form is:

99444 = 2² × 3¹ × 8287¹

Step-2: Prime Factorization of 99460

Prime factors of 99460 are 2, 5, 4973. Prime factorization of 99460 in exponential form is:

99460 = 2² × 5¹ × 4973¹

Step-3: Factors of 99444

List of positive integer factors of 99444 that divides 99444 without a remainder.

1, 2, 3, 4, 6, 12, 8287, 16574, 24861, 33148, 49722

Step-4: Factors of 99460

List of positive integer factors of 99460 that divides 99444 without a remainder.

1, 2, 4, 5, 10, 20, 4973, 9946, 19892, 24865, 49730

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99444 and 99460. The biggest common factor number is the GCF number.
So the greatest common factor 99444 and 99460 is 4.

Also check out the Least Common Multiple of 99444 and 99460