What is the Greatest Common Factor of 5225 and 5244?

Greatest common factor (GCF) of 5225 and 5244 is 19.

GCF(5225,5244) = 19

We will now calculate the prime factors of 5225 and 5244, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5225 and 5244.

How to find the GCF of 5225 and 5244?

We will first find the prime factorization of 5225 and 5244. After we will calculate the factors of 5225 and 5244 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 5244

Prime factors of 5244 are 2, 3, 19, 23. Prime factorization of 5244 in exponential form is:

5244 = 2² × 3¹ × 19¹ × 23¹

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 5244

List of positive integer factors of 5244 that divides 5225 without a remainder.

1, 2, 3, 4, 6, 12, 19, 23, 38, 46, 57, 69, 76, 92, 114, 138, 228, 276, 437, 874, 1311, 1748, 2622

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5225 and 5244. The biggest common factor number is the GCF number.
So the greatest common factor 5225 and 5244 is 19.

Also check out the Least Common Multiple of 5225 and 5244