What is the Greatest Common Factor of 79440 and 79460?

Greatest common factor (GCF) of 79440 and 79460 is 20.

GCF(79440,79460) = 20

We will now calculate the prime factors of 79440 and 79460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79440 and 79460.

How to find the GCF of 79440 and 79460?

We will first find the prime factorization of 79440 and 79460. After we will calculate the factors of 79440 and 79460 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 79460

Prime factors of 79460 are 2, 5, 29, 137. Prime factorization of 79460 in exponential form is:

79460 = 2² × 5¹ × 29¹ × 137¹

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 79460

List of positive integer factors of 79460 that divides 79440 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 137, 145, 274, 290, 548, 580, 685, 1370, 2740, 3973, 7946, 15892, 19865, 39730

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79440 and 79460. The biggest common factor number is the GCF number.
So the greatest common factor 79440 and 79460 is 20.

Also check out the Least Common Multiple of 79440 and 79460