What is the Greatest Common Factor of 99925 and 99932?

Greatest common factor (GCF) of 99925 and 99932 is 7.

GCF(99925,99932) = 7

We will now calculate the prime factors of 99925 and 99932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99925 and 99932.

How to find the GCF of 99925 and 99932?

We will first find the prime factorization of 99925 and 99932. After we will calculate the factors of 99925 and 99932 and find the biggest common factor number .

Step-1: Prime Factorization of 99925

Prime factors of 99925 are 5, 7, 571. Prime factorization of 99925 in exponential form is:

99925 = 5² × 7¹ × 571¹

Step-2: 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-3: Factors of 99925

List of positive integer factors of 99925 that divides 99925 without a remainder.

1, 5, 7, 25, 35, 175, 571, 2855, 3997, 14275, 19985

Step-4: Factors of 99932

List of positive integer factors of 99932 that divides 99925 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99925 and 99932. The biggest common factor number is the GCF number.
So the greatest common factor 99925 and 99932 is 7.

Also check out the Least Common Multiple of 99925 and 99932