What is the Greatest Common Factor of 42224 and 42239?

Greatest common factor (GCF) of 42224 and 42239 is 1.

GCF(42224,42239) = 1

We will now calculate the prime factors of 42224 and 42239, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42224 and 42239.

How to find the GCF of 42224 and 42239?

We will first find the prime factorization of 42224 and 42239. After we will calculate the factors of 42224 and 42239 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 42239

Prime factors of 42239 are 42239. Prime factorization of 42239 in exponential form is:

42239 = 42239¹

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 42239

List of positive integer factors of 42239 that divides 42224 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42224 and 42239. The biggest common factor number is the GCF number.
So the greatest common factor 42224 and 42239 is 1.

Also check out the Least Common Multiple of 42224 and 42239