What is the Greatest Common Factor of 5285 and 5292?

Greatest common factor (GCF) of 5285 and 5292 is 7.

GCF(5285,5292) = 7

We will now calculate the prime factors of 5285 and 5292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5285 and 5292.

How to find the GCF of 5285 and 5292?

We will first find the prime factorization of 5285 and 5292. After we will calculate the factors of 5285 and 5292 and find the biggest common factor number .

Step-1: Prime Factorization of 5285

Prime factors of 5285 are 5, 7, 151. Prime factorization of 5285 in exponential form is:

5285 = 5¹ × 7¹ × 151¹

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 5285

List of positive integer factors of 5285 that divides 5285 without a remainder.

1, 5, 7, 35, 151, 755, 1057

Step-4: Factors of 5292

List of positive integer factors of 5292 that divides 5285 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 5285 and 5292. The biggest common factor number is the GCF number.
So the greatest common factor 5285 and 5292 is 7.

Also check out the Least Common Multiple of 5285 and 5292