What is the Greatest Common Factor of 47358 and 47368?

Greatest common factor (GCF) of 47358 and 47368 is 2.

GCF(47358,47368) = 2

We will now calculate the prime factors of 47358 and 47368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47358 and 47368.

How to find the GCF of 47358 and 47368?

We will first find the prime factorization of 47358 and 47368. After we will calculate the factors of 47358 and 47368 and find the biggest common factor number .

Step-1: Prime Factorization of 47358

Prime factors of 47358 are 2, 3, 877. Prime factorization of 47358 in exponential form is:

47358 = 2¹ × 3³ × 877¹

Step-2: Prime Factorization of 47368

Prime factors of 47368 are 2, 31, 191. Prime factorization of 47368 in exponential form is:

47368 = 2³ × 31¹ × 191¹

Step-3: Factors of 47358

List of positive integer factors of 47358 that divides 47358 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 877, 1754, 2631, 5262, 7893, 15786, 23679

Step-4: Factors of 47368

List of positive integer factors of 47368 that divides 47358 without a remainder.

1, 2, 4, 8, 31, 62, 124, 191, 248, 382, 764, 1528, 5921, 11842, 23684

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47358 and 47368. The biggest common factor number is the GCF number.
So the greatest common factor 47358 and 47368 is 2.

Also check out the Least Common Multiple of 47358 and 47368