What is the Greatest Common Factor of 47370 and 47390?

Greatest common factor (GCF) of 47370 and 47390 is 10.

GCF(47370,47390) = 10

We will now calculate the prime factors of 47370 and 47390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47370 and 47390.

How to find the GCF of 47370 and 47390?

We will first find the prime factorization of 47370 and 47390. After we will calculate the factors of 47370 and 47390 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47390

Prime factors of 47390 are 2, 5, 7, 677. Prime factorization of 47390 in exponential form is:

47390 = 2¹ × 5¹ × 7¹ × 677¹

Step-3: Factors of 47370

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

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

Step-4: Factors of 47390

List of positive integer factors of 47390 that divides 47370 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 677, 1354, 3385, 4739, 6770, 9478, 23695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47370 and 47390. The biggest common factor number is the GCF number.
So the greatest common factor 47370 and 47390 is 10.

Also check out the Least Common Multiple of 47370 and 47390