What is the Greatest Common Factor of 59264 and 59270?

Greatest common factor (GCF) of 59264 and 59270 is 2.

GCF(59264,59270) = 2

We will now calculate the prime factors of 59264 and 59270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59264 and 59270.

How to find the GCF of 59264 and 59270?

We will first find the prime factorization of 59264 and 59270. After we will calculate the factors of 59264 and 59270 and find the biggest common factor number .

Step-1: Prime Factorization of 59264

Prime factors of 59264 are 2, 463. Prime factorization of 59264 in exponential form is:

59264 = 2⁷ × 463¹

Step-2: Prime Factorization of 59270

Prime factors of 59270 are 2, 5, 5927. Prime factorization of 59270 in exponential form is:

59270 = 2¹ × 5¹ × 5927¹

Step-3: Factors of 59264

List of positive integer factors of 59264 that divides 59264 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 463, 926, 1852, 3704, 7408, 14816, 29632

Step-4: Factors of 59270

List of positive integer factors of 59270 that divides 59264 without a remainder.

1, 2, 5, 10, 5927, 11854, 29635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59264 and 59270. The biggest common factor number is the GCF number.
So the greatest common factor 59264 and 59270 is 2.

Also check out the Least Common Multiple of 59264 and 59270