What is the Greatest Common Factor of 72790 and 72800?

Greatest common factor (GCF) of 72790 and 72800 is 10.

GCF(72790,72800) = 10

We will now calculate the prime factors of 72790 and 72800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72790 and 72800.

How to find the GCF of 72790 and 72800?

We will first find the prime factorization of 72790 and 72800. After we will calculate the factors of 72790 and 72800 and find the biggest common factor number .

Step-1: Prime Factorization of 72790

Prime factors of 72790 are 2, 5, 29, 251. Prime factorization of 72790 in exponential form is:

72790 = 2¹ × 5¹ × 29¹ × 251¹

Step-2: Prime Factorization of 72800

Prime factors of 72800 are 2, 5, 7, 13. Prime factorization of 72800 in exponential form is:

72800 = 2⁵ × 5² × 7¹ × 13¹

Step-3: Factors of 72790

List of positive integer factors of 72790 that divides 72790 without a remainder.

1, 2, 5, 10, 29, 58, 145, 251, 290, 502, 1255, 2510, 7279, 14558, 36395

Step-4: Factors of 72800

List of positive integer factors of 72800 that divides 72790 without a remainder.

1, 2, 4, 5, 7, 8, 10, 13, 14, 16, 20, 25, 26, 28, 32, 35, 40, 50, 52, 56, 65, 70, 80, 91, 100, 104, 112, 130, 140, 160, 175, 182, 200, 208, 224, 260, 280, 325, 350, 364, 400, 416, 455, 520, 560, 650, 700, 728, 800, 910, 1040, 1120, 1300, 1400, 1456, 1820, 2080, 2275, 2600, 2800, 2912, 3640, 4550, 5200, 5600, 7280, 9100, 10400, 14560, 18200, 36400

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72790 and 72800. The biggest common factor number is the GCF number.
So the greatest common factor 72790 and 72800 is 10.

Also check out the Least Common Multiple of 72790 and 72800