What is the Greatest Common Factor of 47274 and 47294?

Greatest common factor (GCF) of 47274 and 47294 is 2.

GCF(47274,47294) = 2

We will now calculate the prime factors of 47274 and 47294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47274 and 47294.

How to find the GCF of 47274 and 47294?

We will first find the prime factorization of 47274 and 47294. After we will calculate the factors of 47274 and 47294 and find the biggest common factor number .

Step-1: Prime Factorization of 47274

Prime factors of 47274 are 2, 3, 7879. Prime factorization of 47274 in exponential form is:

47274 = 2¹ × 3¹ × 7879¹

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 47274

List of positive integer factors of 47274 that divides 47274 without a remainder.

1, 2, 3, 6, 7879, 15758, 23637

Step-4: Factors of 47294

List of positive integer factors of 47294 that divides 47274 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 47274 and 47294. The biggest common factor number is the GCF number.
So the greatest common factor 47274 and 47294 is 2.

Also check out the Least Common Multiple of 47274 and 47294