What is the Greatest Common Factor of 5278 and 5292?

Greatest common factor (GCF) of 5278 and 5292 is 14.

GCF(5278,5292) = 14

We will now calculate the prime factors of 5278 and 5292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5278 and 5292.

How to find the GCF of 5278 and 5292?

We will first find the prime factorization of 5278 and 5292. After we will calculate the factors of 5278 and 5292 and find the biggest common factor number .

Step-1: Prime Factorization of 5278

Prime factors of 5278 are 2, 7, 13, 29. Prime factorization of 5278 in exponential form is:

5278 = 2¹ × 7¹ × 13¹ × 29¹

Step-2: Prime Factorization of 5292

Prime factors of 5292 are 2, 3, 7. Prime factorization of 5292 in exponential form is:

5292 = 2² × 3³ × 7²

Step-3: Factors of 5278

List of positive integer factors of 5278 that divides 5278 without a remainder.

1, 2, 7, 13, 14, 26, 29, 58, 91, 182, 203, 377, 406, 754, 2639

Step-4: Factors of 5292

List of positive integer factors of 5292 that divides 5278 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 49, 54, 63, 84, 98, 108, 126, 147, 189, 196, 252, 294, 378, 441, 588, 756, 882, 1323, 1764, 2646

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5278 and 5292. The biggest common factor number is the GCF number.
So the greatest common factor 5278 and 5292 is 14.

Also check out the Least Common Multiple of 5278 and 5292