What is the Greatest Common Factor of 5236 and 5254?

Greatest common factor (GCF) of 5236 and 5254 is 2.

GCF(5236,5254) = 2

We will now calculate the prime factors of 5236 and 5254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5236 and 5254.

How to find the GCF of 5236 and 5254?

We will first find the prime factorization of 5236 and 5254. After we will calculate the factors of 5236 and 5254 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 5254

Prime factors of 5254 are 2, 37, 71. Prime factorization of 5254 in exponential form is:

5254 = 2¹ × 37¹ × 71¹

Step-3: Factors of 5236

List of positive integer factors of 5236 that divides 5236 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

Step-4: Factors of 5254

List of positive integer factors of 5254 that divides 5236 without a remainder.

1, 2, 37, 71, 74, 142, 2627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5236 and 5254. The biggest common factor number is the GCF number.
So the greatest common factor 5236 and 5254 is 2.

Also check out the Least Common Multiple of 5236 and 5254