What is the Greatest Common Factor of 79944 and 79953?

Greatest common factor (GCF) of 79944 and 79953 is 3.

GCF(79944,79953) = 3

We will now calculate the prime factors of 79944 and 79953, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79944 and 79953.

How to find the GCF of 79944 and 79953?

We will first find the prime factorization of 79944 and 79953. After we will calculate the factors of 79944 and 79953 and find the biggest common factor number .

Step-1: Prime Factorization of 79944

Prime factors of 79944 are 2, 3, 3331. Prime factorization of 79944 in exponential form is:

79944 = 2³ × 3¹ × 3331¹

Step-2: Prime Factorization of 79953

Prime factors of 79953 are 3, 29, 919. Prime factorization of 79953 in exponential form is:

79953 = 3¹ × 29¹ × 919¹

Step-3: Factors of 79944

List of positive integer factors of 79944 that divides 79944 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3331, 6662, 9993, 13324, 19986, 26648, 39972

Step-4: Factors of 79953

List of positive integer factors of 79953 that divides 79944 without a remainder.

1, 3, 29, 87, 919, 2757, 26651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79944 and 79953. The biggest common factor number is the GCF number.
So the greatest common factor 79944 and 79953 is 3.

Also check out the Least Common Multiple of 79944 and 79953