What is the Greatest Common Factor of 79440 and 79452?

Greatest common factor (GCF) of 79440 and 79452 is 12.

GCF(79440,79452) = 12

We will now calculate the prime factors of 79440 and 79452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79440 and 79452.

How to find the GCF of 79440 and 79452?

We will first find the prime factorization of 79440 and 79452. After we will calculate the factors of 79440 and 79452 and find the biggest common factor number .

Step-1: Prime Factorization of 79440

Prime factors of 79440 are 2, 3, 5, 331. Prime factorization of 79440 in exponential form is:

79440 = 2⁴ × 3¹ × 5¹ × 331¹

Step-2: Prime Factorization of 79452

Prime factors of 79452 are 2, 3, 2207. Prime factorization of 79452 in exponential form is:

79452 = 2² × 3² × 2207¹

Step-3: Factors of 79440

List of positive integer factors of 79440 that divides 79440 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 331, 662, 993, 1324, 1655, 1986, 2648, 3310, 3972, 4965, 5296, 6620, 7944, 9930, 13240, 15888, 19860, 26480, 39720

Step-4: Factors of 79452

List of positive integer factors of 79452 that divides 79440 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2207, 4414, 6621, 8828, 13242, 19863, 26484, 39726

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79440 and 79452. The biggest common factor number is the GCF number.
So the greatest common factor 79440 and 79452 is 12.

Also check out the Least Common Multiple of 79440 and 79452