What is the Greatest Common Factor of 72240 and 72260?

Greatest common factor (GCF) of 72240 and 72260 is 20.

GCF(72240,72260) = 20

We will now calculate the prime factors of 72240 and 72260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72240 and 72260.

How to find the GCF of 72240 and 72260?

We will first find the prime factorization of 72240 and 72260. After we will calculate the factors of 72240 and 72260 and find the biggest common factor number .

Step-1: Prime Factorization of 72240

Prime factors of 72240 are 2, 3, 5, 7, 43. Prime factorization of 72240 in exponential form is:

72240 = 2⁴ × 3¹ × 5¹ × 7¹ × 43¹

Step-2: Prime Factorization of 72260

Prime factors of 72260 are 2, 5, 3613. Prime factorization of 72260 in exponential form is:

72260 = 2² × 5¹ × 3613¹

Step-3: Factors of 72240

List of positive integer factors of 72240 that divides 72240 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 35, 40, 42, 43, 48, 56, 60, 70, 80, 84, 86, 105, 112, 120, 129, 140, 168, 172, 210, 215, 240, 258, 280, 301, 336, 344, 420, 430, 516, 560, 602, 645, 688, 840, 860, 903, 1032, 1204, 1290, 1505, 1680, 1720, 1806, 2064, 2408, 2580, 3010, 3440, 3612, 4515, 4816, 5160, 6020, 7224, 9030, 10320, 12040, 14448, 18060, 24080, 36120

Step-4: Factors of 72260

List of positive integer factors of 72260 that divides 72240 without a remainder.

1, 2, 4, 5, 10, 20, 3613, 7226, 14452, 18065, 36130

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72240 and 72260. The biggest common factor number is the GCF number.
So the greatest common factor 72240 and 72260 is 20.

Also check out the Least Common Multiple of 72240 and 72260