What is the Greatest Common Factor of 79440 and 79456?

Greatest common factor (GCF) of 79440 and 79456 is 16.

GCF(79440,79456) = 16

We will now calculate the prime factors of 79440 and 79456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79440 and 79456.

How to find the GCF of 79440 and 79456?

We will first find the prime factorization of 79440 and 79456. After we will calculate the factors of 79440 and 79456 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 79456

Prime factors of 79456 are 2, 13, 191. Prime factorization of 79456 in exponential form is:

79456 = 2⁵ × 13¹ × 191¹

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 79456

List of positive integer factors of 79456 that divides 79440 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 191, 208, 382, 416, 764, 1528, 2483, 3056, 4966, 6112, 9932, 19864, 39728

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79440 and 79456. The biggest common factor number is the GCF number.
So the greatest common factor 79440 and 79456 is 16.

Also check out the Least Common Multiple of 79440 and 79456