What is the Greatest Common Factor of 72046 and 72059?

Greatest common factor (GCF) of 72046 and 72059 is 13.

GCF(72046,72059) = 13

We will now calculate the prime factors of 72046 and 72059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72046 and 72059.

How to find the GCF of 72046 and 72059?

We will first find the prime factorization of 72046 and 72059. After we will calculate the factors of 72046 and 72059 and find the biggest common factor number .

Step-1: Prime Factorization of 72046

Prime factors of 72046 are 2, 13, 17, 163. Prime factorization of 72046 in exponential form is:

72046 = 2¹ × 13¹ × 17¹ × 163¹

Step-2: Prime Factorization of 72059

Prime factors of 72059 are 13, 23, 241. Prime factorization of 72059 in exponential form is:

72059 = 13¹ × 23¹ × 241¹

Step-3: Factors of 72046

List of positive integer factors of 72046 that divides 72046 without a remainder.

1, 2, 13, 17, 26, 34, 163, 221, 326, 442, 2119, 2771, 4238, 5542, 36023

Step-4: Factors of 72059

List of positive integer factors of 72059 that divides 72046 without a remainder.

1, 13, 23, 241, 299, 3133, 5543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72046 and 72059. The biggest common factor number is the GCF number.
So the greatest common factor 72046 and 72059 is 13.

Also check out the Least Common Multiple of 72046 and 72059