What is the Greatest Common Factor of 93924 and 93932?

Greatest common factor (GCF) of 93924 and 93932 is 4.

GCF(93924,93932) = 4

We will now calculate the prime factors of 93924 and 93932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93924 and 93932.

How to find the GCF of 93924 and 93932?

We will first find the prime factorization of 93924 and 93932. After we will calculate the factors of 93924 and 93932 and find the biggest common factor number .

Step-1: Prime Factorization of 93924

Prime factors of 93924 are 2, 3, 2609. Prime factorization of 93924 in exponential form is:

93924 = 2² × 3² × 2609¹

Step-2: Prime Factorization of 93932

Prime factors of 93932 are 2, 23, 1021. Prime factorization of 93932 in exponential form is:

93932 = 2² × 23¹ × 1021¹

Step-3: Factors of 93924

List of positive integer factors of 93924 that divides 93924 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2609, 5218, 7827, 10436, 15654, 23481, 31308, 46962

Step-4: Factors of 93932

List of positive integer factors of 93932 that divides 93924 without a remainder.

1, 2, 4, 23, 46, 92, 1021, 2042, 4084, 23483, 46966

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93924 and 93932. The biggest common factor number is the GCF number.
So the greatest common factor 93924 and 93932 is 4.

Also check out the Least Common Multiple of 93924 and 93932