What is the Greatest Common Factor of 47278 and 47294?

Greatest common factor (GCF) of 47278 and 47294 is 2.

GCF(47278,47294) = 2

We will now calculate the prime factors of 47278 and 47294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47278 and 47294.

How to find the GCF of 47278 and 47294?

We will first find the prime factorization of 47278 and 47294. After we will calculate the factors of 47278 and 47294 and find the biggest common factor number .

Step-1: Prime Factorization of 47278

Prime factors of 47278 are 2, 7, 11, 307. Prime factorization of 47278 in exponential form is:

47278 = 2¹ × 7¹ × 11¹ × 307¹

Step-2: 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-3: Factors of 47278

List of positive integer factors of 47278 that divides 47278 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 307, 614, 2149, 3377, 4298, 6754, 23639

Step-4: Factors of 47294

List of positive integer factors of 47294 that divides 47278 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47278 and 47294. The biggest common factor number is the GCF number.
So the greatest common factor 47278 and 47294 is 2.

Also check out the Least Common Multiple of 47278 and 47294