What is the Greatest Common Factor of 5263 and 5282?

Greatest common factor (GCF) of 5263 and 5282 is 19.

GCF(5263,5282) = 19

We will now calculate the prime factors of 5263 and 5282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5263 and 5282.

How to find the GCF of 5263 and 5282?

We will first find the prime factorization of 5263 and 5282. After we will calculate the factors of 5263 and 5282 and find the biggest common factor number .

Step-1: Prime Factorization of 5263

Prime factors of 5263 are 19, 277. Prime factorization of 5263 in exponential form is:

5263 = 19¹ × 277¹

Step-2: Prime Factorization of 5282

Prime factors of 5282 are 2, 19, 139. Prime factorization of 5282 in exponential form is:

5282 = 2¹ × 19¹ × 139¹

Step-3: Factors of 5263

List of positive integer factors of 5263 that divides 5263 without a remainder.

1, 19, 277

Step-4: Factors of 5282

List of positive integer factors of 5282 that divides 5263 without a remainder.

1, 2, 19, 38, 139, 278, 2641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5263 and 5282. The biggest common factor number is the GCF number.
So the greatest common factor 5263 and 5282 is 19.

Also check out the Least Common Multiple of 5263 and 5282