What is the Greatest Common Factor of 5292 and 5297?

Greatest common factor (GCF) of 5292 and 5297 is 1.

GCF(5292,5297) = 1

We will now calculate the prime factors of 5292 and 5297, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5292 and 5297.

How to find the GCF of 5292 and 5297?

We will first find the prime factorization of 5292 and 5297. After we will calculate the factors of 5292 and 5297 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 5297

Prime factors of 5297 are 5297. Prime factorization of 5297 in exponential form is:

5297 = 5297¹

Step-3: Factors of 5292

List of positive integer factors of 5292 that divides 5292 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

Step-4: Factors of 5297

List of positive integer factors of 5297 that divides 5292 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5292 and 5297. The biggest common factor number is the GCF number.
So the greatest common factor 5292 and 5297 is 1.

Also check out the Least Common Multiple of 5292 and 5297