What is the Greatest Common Factor of 47620 and 47627?

Greatest common factor (GCF) of 47620 and 47627 is 1.

GCF(47620,47627) = 1

We will now calculate the prime factors of 47620 and 47627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47620 and 47627.

How to find the GCF of 47620 and 47627?

We will first find the prime factorization of 47620 and 47627. After we will calculate the factors of 47620 and 47627 and find the biggest common factor number .

Step-1: Prime Factorization of 47620

Prime factors of 47620 are 2, 5, 2381. Prime factorization of 47620 in exponential form is:

47620 = 2² × 5¹ × 2381¹

Step-2: Prime Factorization of 47627

Prime factors of 47627 are 97, 491. Prime factorization of 47627 in exponential form is:

47627 = 97¹ × 491¹

Step-3: Factors of 47620

List of positive integer factors of 47620 that divides 47620 without a remainder.

1, 2, 4, 5, 10, 20, 2381, 4762, 9524, 11905, 23810

Step-4: Factors of 47627

List of positive integer factors of 47627 that divides 47620 without a remainder.

1, 97, 491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47620 and 47627. The biggest common factor number is the GCF number.
So the greatest common factor 47620 and 47627 is 1.

Also check out the Least Common Multiple of 47620 and 47627