What is the Greatest Common Factor of 59226 and 59232?

Greatest common factor (GCF) of 59226 and 59232 is 6.

GCF(59226,59232) = 6

We will now calculate the prime factors of 59226 and 59232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59226 and 59232.

How to find the GCF of 59226 and 59232?

We will first find the prime factorization of 59226 and 59232. After we will calculate the factors of 59226 and 59232 and find the biggest common factor number .

Step-1: Prime Factorization of 59226

Prime factors of 59226 are 2, 3, 9871. Prime factorization of 59226 in exponential form is:

59226 = 2¹ × 3¹ × 9871¹

Step-2: Prime Factorization of 59232

Prime factors of 59232 are 2, 3, 617. Prime factorization of 59232 in exponential form is:

59232 = 2⁵ × 3¹ × 617¹

Step-3: Factors of 59226

List of positive integer factors of 59226 that divides 59226 without a remainder.

1, 2, 3, 6, 9871, 19742, 29613

Step-4: Factors of 59232

List of positive integer factors of 59232 that divides 59226 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 617, 1234, 1851, 2468, 3702, 4936, 7404, 9872, 14808, 19744, 29616

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59226 and 59232. The biggest common factor number is the GCF number.
So the greatest common factor 59226 and 59232 is 6.

Also check out the Least Common Multiple of 59226 and 59232