What is the Greatest Common Factor of 72480 and 72494?

Greatest common factor (GCF) of 72480 and 72494 is 2.

GCF(72480,72494) = 2

We will now calculate the prime factors of 72480 and 72494, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72480 and 72494.

How to find the GCF of 72480 and 72494?

We will first find the prime factorization of 72480 and 72494. After we will calculate the factors of 72480 and 72494 and find the biggest common factor number .

Step-1: Prime Factorization of 72480

Prime factors of 72480 are 2, 3, 5, 151. Prime factorization of 72480 in exponential form is:

72480 = 2⁵ × 3¹ × 5¹ × 151¹

Step-2: Prime Factorization of 72494

Prime factors of 72494 are 2, 67, 541. Prime factorization of 72494 in exponential form is:

72494 = 2¹ × 67¹ × 541¹

Step-3: Factors of 72480

List of positive integer factors of 72480 that divides 72480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 151, 160, 240, 302, 453, 480, 604, 755, 906, 1208, 1510, 1812, 2265, 2416, 3020, 3624, 4530, 4832, 6040, 7248, 9060, 12080, 14496, 18120, 24160, 36240

Step-4: Factors of 72494

List of positive integer factors of 72494 that divides 72480 without a remainder.

1, 2, 67, 134, 541, 1082, 36247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72480 and 72494. The biggest common factor number is the GCF number.
So the greatest common factor 72480 and 72494 is 2.

Also check out the Least Common Multiple of 72480 and 72494