What is the Greatest Common Factor of 5292 and 5302?

Greatest common factor (GCF) of 5292 and 5302 is 2.

GCF(5292,5302) = 2

We will now calculate the prime factors of 5292 and 5302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5292 and 5302.

How to find the GCF of 5292 and 5302?

We will first find the prime factorization of 5292 and 5302. After we will calculate the factors of 5292 and 5302 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 5302

Prime factors of 5302 are 2, 11, 241. Prime factorization of 5302 in exponential form is:

5302 = 2¹ × 11¹ × 241¹

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 5302

List of positive integer factors of 5302 that divides 5292 without a remainder.

1, 2, 11, 22, 241, 482, 2651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5292 and 5302. The biggest common factor number is the GCF number.
So the greatest common factor 5292 and 5302 is 2.

Also check out the Least Common Multiple of 5292 and 5302