What is the Greatest Common Factor of 42240 and 42252?

Greatest common factor (GCF) of 42240 and 42252 is 12.

GCF(42240,42252) = 12

We will now calculate the prime factors of 42240 and 42252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42240 and 42252.

How to find the GCF of 42240 and 42252?

We will first find the prime factorization of 42240 and 42252. After we will calculate the factors of 42240 and 42252 and find the biggest common factor number .

Step-1: Prime Factorization of 42240

Prime factors of 42240 are 2, 3, 5, 11. Prime factorization of 42240 in exponential form is:

42240 = 2⁸ × 3¹ × 5¹ × 11¹

Step-2: Prime Factorization of 42252

Prime factors of 42252 are 2, 3, 7, 503. Prime factorization of 42252 in exponential form is:

42252 = 2² × 3¹ × 7¹ × 503¹

Step-3: Factors of 42240

List of positive integer factors of 42240 that divides 42240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 32, 33, 40, 44, 48, 55, 60, 64, 66, 80, 88, 96, 110, 120, 128, 132, 160, 165, 176, 192, 220, 240, 256, 264, 320, 330, 352, 384, 440, 480, 528, 640, 660, 704, 768, 880, 960, 1056, 1280, 1320, 1408, 1760, 1920, 2112, 2640, 2816, 3520, 3840, 4224, 5280, 7040, 8448, 10560, 14080, 21120

Step-4: Factors of 42252

List of positive integer factors of 42252 that divides 42240 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 503, 1006, 1509, 2012, 3018, 3521, 6036, 7042, 10563, 14084, 21126

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42240 and 42252. The biggest common factor number is the GCF number.
So the greatest common factor 42240 and 42252 is 12.

Also check out the Least Common Multiple of 42240 and 42252