What is the Greatest Common Factor of 59026 and 59032?

Greatest common factor (GCF) of 59026 and 59032 is 2.

GCF(59026,59032) = 2

We will now calculate the prime factors of 59026 and 59032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59026 and 59032.

How to find the GCF of 59026 and 59032?

We will first find the prime factorization of 59026 and 59032. After we will calculate the factors of 59026 and 59032 and find the biggest common factor number .

Step-1: Prime Factorization of 59026

Prime factors of 59026 are 2, 11, 2683. Prime factorization of 59026 in exponential form is:

59026 = 2¹ × 11¹ × 2683¹

Step-2: Prime Factorization of 59032

Prime factors of 59032 are 2, 47, 157. Prime factorization of 59032 in exponential form is:

59032 = 2³ × 47¹ × 157¹

Step-3: Factors of 59026

List of positive integer factors of 59026 that divides 59026 without a remainder.

1, 2, 11, 22, 2683, 5366, 29513

Step-4: Factors of 59032

List of positive integer factors of 59032 that divides 59026 without a remainder.

1, 2, 4, 8, 47, 94, 157, 188, 314, 376, 628, 1256, 7379, 14758, 29516

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59026 and 59032. The biggest common factor number is the GCF number.
So the greatest common factor 59026 and 59032 is 2.

Also check out the Least Common Multiple of 59026 and 59032