What is the Greatest Common Factor of 59344 and 59358?

Greatest common factor (GCF) of 59344 and 59358 is 2.

GCF(59344,59358) = 2

We will now calculate the prime factors of 59344 and 59358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59344 and 59358.

How to find the GCF of 59344 and 59358?

We will first find the prime factorization of 59344 and 59358. After we will calculate the factors of 59344 and 59358 and find the biggest common factor number .

Step-1: Prime Factorization of 59344

Prime factors of 59344 are 2, 3709. Prime factorization of 59344 in exponential form is:

59344 = 2⁴ × 3709¹

Step-2: Prime Factorization of 59358

Prime factors of 59358 are 2, 3, 13, 761. Prime factorization of 59358 in exponential form is:

59358 = 2¹ × 3¹ × 13¹ × 761¹

Step-3: Factors of 59344

List of positive integer factors of 59344 that divides 59344 without a remainder.

1, 2, 4, 8, 16, 3709, 7418, 14836, 29672

Step-4: Factors of 59358

List of positive integer factors of 59358 that divides 59344 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 761, 1522, 2283, 4566, 9893, 19786, 29679

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59344 and 59358. The biggest common factor number is the GCF number.
So the greatest common factor 59344 and 59358 is 2.

Also check out the Least Common Multiple of 59344 and 59358