What is the Greatest Common Factor of 47294 and 47308?

Greatest common factor (GCF) of 47294 and 47308 is 2.

GCF(47294,47308) = 2

We will now calculate the prime factors of 47294 and 47308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47294 and 47308.

How to find the GCF of 47294 and 47308?

We will first find the prime factorization of 47294 and 47308. After we will calculate the factors of 47294 and 47308 and find the biggest common factor number .

Step-1: Prime Factorization of 47294

Prime factors of 47294 are 2, 13, 17, 107. Prime factorization of 47294 in exponential form is:

47294 = 2¹ × 13¹ × 17¹ × 107¹

Step-2: Prime Factorization of 47308

Prime factors of 47308 are 2, 11827. Prime factorization of 47308 in exponential form is:

47308 = 2² × 11827¹

Step-3: Factors of 47294

List of positive integer factors of 47294 that divides 47294 without a remainder.

1, 2, 13, 17, 26, 34, 107, 214, 221, 442, 1391, 1819, 2782, 3638, 23647

Step-4: Factors of 47308

List of positive integer factors of 47308 that divides 47294 without a remainder.

1, 2, 4, 11827, 23654

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47294 and 47308. The biggest common factor number is the GCF number.
So the greatest common factor 47294 and 47308 is 2.

Also check out the Least Common Multiple of 47294 and 47308