What is the Greatest Common Factor of 47341 and 47348?

Greatest common factor (GCF) of 47341 and 47348 is 7.

GCF(47341,47348) = 7

We will now calculate the prime factors of 47341 and 47348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47341 and 47348.

How to find the GCF of 47341 and 47348?

We will first find the prime factorization of 47341 and 47348. After we will calculate the factors of 47341 and 47348 and find the biggest common factor number .

Step-1: Prime Factorization of 47341

Prime factors of 47341 are 7, 6763. Prime factorization of 47341 in exponential form is:

47341 = 7¹ × 6763¹

Step-2: Prime Factorization of 47348

Prime factors of 47348 are 2, 7, 19, 89. Prime factorization of 47348 in exponential form is:

47348 = 2² × 7¹ × 19¹ × 89¹

Step-3: Factors of 47341

List of positive integer factors of 47341 that divides 47341 without a remainder.

1, 7, 6763

Step-4: Factors of 47348

List of positive integer factors of 47348 that divides 47341 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 89, 133, 178, 266, 356, 532, 623, 1246, 1691, 2492, 3382, 6764, 11837, 23674

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47341 and 47348. The biggest common factor number is the GCF number.
So the greatest common factor 47341 and 47348 is 7.

Also check out the Least Common Multiple of 47341 and 47348