What is the Greatest Common Factor of 47348 and 47358?

Greatest common factor (GCF) of 47348 and 47358 is 2.

GCF(47348,47358) = 2

We will now calculate the prime factors of 47348 and 47358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47348 and 47358.

How to find the GCF of 47348 and 47358?

We will first find the prime factorization of 47348 and 47358. After we will calculate the factors of 47348 and 47358 and find the biggest common factor number .

Step-1: 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-2: 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-3: Factors of 47348

List of positive integer factors of 47348 that divides 47348 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

Step-4: Factors of 47358

List of positive integer factors of 47358 that divides 47348 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47348 and 47358. The biggest common factor number is the GCF number.
So the greatest common factor 47348 and 47358 is 2.

Also check out the Least Common Multiple of 47348 and 47358