What is the Greatest Common Factor of 47358 and 47370?

Greatest common factor (GCF) of 47358 and 47370 is 6.

GCF(47358,47370) = 6

We will now calculate the prime factors of 47358 and 47370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47358 and 47370.

How to find the GCF of 47358 and 47370?

We will first find the prime factorization of 47358 and 47370. After we will calculate the factors of 47358 and 47370 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 47370

Prime factors of 47370 are 2, 3, 5, 1579. Prime factorization of 47370 in exponential form is:

47370 = 2¹ × 3¹ × 5¹ × 1579¹

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 47370

List of positive integer factors of 47370 that divides 47358 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1579, 3158, 4737, 7895, 9474, 15790, 23685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47358 and 47370. The biggest common factor number is the GCF number.
So the greatest common factor 47358 and 47370 is 6.

Also check out the Least Common Multiple of 47358 and 47370