What is the Greatest Common Factor of 47278 and 47292?

Greatest common factor (GCF) of 47278 and 47292 is 14.

GCF(47278,47292) = 14

We will now calculate the prime factors of 47278 and 47292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47278 and 47292.

How to find the GCF of 47278 and 47292?

We will first find the prime factorization of 47278 and 47292. After we will calculate the factors of 47278 and 47292 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 47292

Prime factors of 47292 are 2, 3, 7, 563. Prime factorization of 47292 in exponential form is:

47292 = 2² × 3¹ × 7¹ × 563¹

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 47292

List of positive integer factors of 47292 that divides 47278 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 563, 1126, 1689, 2252, 3378, 3941, 6756, 7882, 11823, 15764, 23646

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47278 and 47292. The biggest common factor number is the GCF number.
So the greatest common factor 47278 and 47292 is 14.

Also check out the Least Common Multiple of 47278 and 47292