What is the Greatest Common Factor of 72240 and 72252?

Greatest common factor (GCF) of 72240 and 72252 is 12.

GCF(72240,72252) = 12

We will now calculate the prime factors of 72240 and 72252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72240 and 72252.

How to find the GCF of 72240 and 72252?

We will first find the prime factorization of 72240 and 72252. After we will calculate the factors of 72240 and 72252 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 72252

Prime factors of 72252 are 2, 3, 223. Prime factorization of 72252 in exponential form is:

72252 = 2² × 3⁴ × 223¹

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 72252

List of positive integer factors of 72252 that divides 72240 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 223, 324, 446, 669, 892, 1338, 2007, 2676, 4014, 6021, 8028, 12042, 18063, 24084, 36126

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72240 and 72252. The biggest common factor number is the GCF number.
So the greatest common factor 72240 and 72252 is 12.

Also check out the Least Common Multiple of 72240 and 72252