What is the Greatest Common Factor of 42224 and 42237?

Greatest common factor (GCF) of 42224 and 42237 is 13.

GCF(42224,42237) = 13

We will now calculate the prime factors of 42224 and 42237, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42224 and 42237.

How to find the GCF of 42224 and 42237?

We will first find the prime factorization of 42224 and 42237. After we will calculate the factors of 42224 and 42237 and find the biggest common factor number .

Step-1: Prime Factorization of 42224

Prime factors of 42224 are 2, 7, 13, 29. Prime factorization of 42224 in exponential form is:

42224 = 2⁴ × 7¹ × 13¹ × 29¹

Step-2: Prime Factorization of 42237

Prime factors of 42237 are 3, 13, 19. Prime factorization of 42237 in exponential form is:

42237 = 3² × 13¹ × 19²

Step-3: Factors of 42224

List of positive integer factors of 42224 that divides 42224 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 29, 52, 56, 58, 91, 104, 112, 116, 182, 203, 208, 232, 364, 377, 406, 464, 728, 754, 812, 1456, 1508, 1624, 2639, 3016, 3248, 5278, 6032, 10556, 21112

Step-4: Factors of 42237

List of positive integer factors of 42237 that divides 42224 without a remainder.

1, 3, 9, 13, 19, 39, 57, 117, 171, 247, 361, 741, 1083, 2223, 3249, 4693, 14079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42224 and 42237. The biggest common factor number is the GCF number.
So the greatest common factor 42224 and 42237 is 13.

Also check out the Least Common Multiple of 42224 and 42237