What is the Greatest Common Factor of 42209 and 42224?

Greatest common factor (GCF) of 42209 and 42224 is 1.

GCF(42209,42224) = 1

We will now calculate the prime factors of 42209 and 42224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42209 and 42224.

How to find the GCF of 42209 and 42224?

We will first find the prime factorization of 42209 and 42224. After we will calculate the factors of 42209 and 42224 and find the biggest common factor number .

Step-1: Prime Factorization of 42209

Prime factors of 42209 are 42209. Prime factorization of 42209 in exponential form is:

42209 = 42209¹

Step-2: 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-3: Factors of 42209

List of positive integer factors of 42209 that divides 42209 without a remainder.

Step-4: Factors of 42224

List of positive integer factors of 42224 that divides 42209 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42209 and 42224. The biggest common factor number is the GCF number.
So the greatest common factor 42209 and 42224 is 1.

Also check out the Least Common Multiple of 42209 and 42224