What is the Greatest Common Factor of 79440 and 79448?

Greatest common factor (GCF) of 79440 and 79448 is 8.

GCF(79440,79448) = 8

We will now calculate the prime factors of 79440 and 79448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79440 and 79448.

How to find the GCF of 79440 and 79448?

We will first find the prime factorization of 79440 and 79448. After we will calculate the factors of 79440 and 79448 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 79448

Prime factors of 79448 are 2, 9931. Prime factorization of 79448 in exponential form is:

79448 = 2³ × 9931¹

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 79448

List of positive integer factors of 79448 that divides 79440 without a remainder.

1, 2, 4, 8, 9931, 19862, 39724

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79440 and 79448. The biggest common factor number is the GCF number.
So the greatest common factor 79440 and 79448 is 8.

Also check out the Least Common Multiple of 79440 and 79448