What is the Greatest Common Factor of 5225 and 5236?

Greatest common factor (GCF) of 5225 and 5236 is 11.

GCF(5225,5236) = 11

We will now calculate the prime factors of 5225 and 5236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5225 and 5236.

How to find the GCF of 5225 and 5236?

We will first find the prime factorization of 5225 and 5236. After we will calculate the factors of 5225 and 5236 and find the biggest common factor number .

Step-1: Prime Factorization of 5225

Prime factors of 5225 are 5, 11, 19. Prime factorization of 5225 in exponential form is:

5225 = 5² × 11¹ × 19¹

Step-2: Prime Factorization of 5236

Prime factors of 5236 are 2, 7, 11, 17. Prime factorization of 5236 in exponential form is:

5236 = 2² × 7¹ × 11¹ × 17¹

Step-3: Factors of 5225

List of positive integer factors of 5225 that divides 5225 without a remainder.

1, 5, 11, 19, 25, 55, 95, 209, 275, 475, 1045

Step-4: Factors of 5236

List of positive integer factors of 5236 that divides 5225 without a remainder.

1, 2, 4, 7, 11, 14, 17, 22, 28, 34, 44, 68, 77, 119, 154, 187, 238, 308, 374, 476, 748, 1309, 2618

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5225 and 5236. The biggest common factor number is the GCF number.
So the greatest common factor 5225 and 5236 is 11.

Also check out the Least Common Multiple of 5225 and 5236