What is the Greatest Common Factor of 59314 and 59334?

Greatest common factor (GCF) of 59314 and 59334 is 2.

GCF(59314,59334) = 2

We will now calculate the prime factors of 59314 and 59334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59314 and 59334.

How to find the GCF of 59314 and 59334?

We will first find the prime factorization of 59314 and 59334. After we will calculate the factors of 59314 and 59334 and find the biggest common factor number .

Step-1: Prime Factorization of 59314

Prime factors of 59314 are 2, 47, 631. Prime factorization of 59314 in exponential form is:

59314 = 2¹ × 47¹ × 631¹

Step-2: Prime Factorization of 59334

Prime factors of 59334 are 2, 3, 11, 29, 31. Prime factorization of 59334 in exponential form is:

59334 = 2¹ × 3¹ × 11¹ × 29¹ × 31¹

Step-3: Factors of 59314

List of positive integer factors of 59314 that divides 59314 without a remainder.

1, 2, 47, 94, 631, 1262, 29657

Step-4: Factors of 59334

List of positive integer factors of 59334 that divides 59314 without a remainder.

1, 2, 3, 6, 11, 22, 29, 31, 33, 58, 62, 66, 87, 93, 174, 186, 319, 341, 638, 682, 899, 957, 1023, 1798, 1914, 2046, 2697, 5394, 9889, 19778, 29667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59314 and 59334. The biggest common factor number is the GCF number.
So the greatest common factor 59314 and 59334 is 2.

Also check out the Least Common Multiple of 59314 and 59334