What is the Greatest Common Factor of 99852 and 99872?

Greatest common factor (GCF) of 99852 and 99872 is 4.

GCF(99852,99872) = 4

We will now calculate the prime factors of 99852 and 99872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99852 and 99872.

How to find the GCF of 99852 and 99872?

We will first find the prime factorization of 99852 and 99872. After we will calculate the factors of 99852 and 99872 and find the biggest common factor number .

Step-1: Prime Factorization of 99852

Prime factors of 99852 are 2, 3, 53, 157. Prime factorization of 99852 in exponential form is:

99852 = 2² × 3¹ × 53¹ × 157¹

Step-2: Prime Factorization of 99872

Prime factors of 99872 are 2, 3121. Prime factorization of 99872 in exponential form is:

99872 = 2⁵ × 3121¹

Step-3: Factors of 99852

List of positive integer factors of 99852 that divides 99852 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 157, 159, 212, 314, 318, 471, 628, 636, 942, 1884, 8321, 16642, 24963, 33284, 49926

Step-4: Factors of 99872

List of positive integer factors of 99872 that divides 99852 without a remainder.

1, 2, 4, 8, 16, 32, 3121, 6242, 12484, 24968, 49936

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99852 and 99872. The biggest common factor number is the GCF number.
So the greatest common factor 99852 and 99872 is 4.

Also check out the Least Common Multiple of 99852 and 99872