What is the Greatest Common Factor of 99932 and 99952?

Greatest common factor (GCF) of 99932 and 99952 is 4.

GCF(99932,99952) = 4

We will now calculate the prime factors of 99932 and 99952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99932 and 99952.

How to find the GCF of 99932 and 99952?

We will first find the prime factorization of 99932 and 99952. After we will calculate the factors of 99932 and 99952 and find the biggest common factor number .

Step-1: Prime Factorization of 99932

Prime factors of 99932 are 2, 7, 43, 83. Prime factorization of 99932 in exponential form is:

99932 = 2² × 7¹ × 43¹ × 83¹

Step-2: Prime Factorization of 99952

Prime factors of 99952 are 2, 6247. Prime factorization of 99952 in exponential form is:

99952 = 2⁴ × 6247¹

Step-3: Factors of 99932

List of positive integer factors of 99932 that divides 99932 without a remainder.

1, 2, 4, 7, 14, 28, 43, 83, 86, 166, 172, 301, 332, 581, 602, 1162, 1204, 2324, 3569, 7138, 14276, 24983, 49966

Step-4: Factors of 99952

List of positive integer factors of 99952 that divides 99932 without a remainder.

1, 2, 4, 8, 16, 6247, 12494, 24988, 49976

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99932 and 99952. The biggest common factor number is the GCF number.
So the greatest common factor 99932 and 99952 is 4.

Also check out the Least Common Multiple of 99932 and 99952