What is the Greatest Common Factor of 5229 and 5243?

Greatest common factor (GCF) of 5229 and 5243 is 7.

GCF(5229,5243) = 7

We will now calculate the prime factors of 5229 and 5243, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5229 and 5243.

How to find the GCF of 5229 and 5243?

We will first find the prime factorization of 5229 and 5243. After we will calculate the factors of 5229 and 5243 and find the biggest common factor number .

Step-1: Prime Factorization of 5229

Prime factors of 5229 are 3, 7, 83. Prime factorization of 5229 in exponential form is:

5229 = 3² × 7¹ × 83¹

Step-2: Prime Factorization of 5243

Prime factors of 5243 are 7, 107. Prime factorization of 5243 in exponential form is:

5243 = 7² × 107¹

Step-3: Factors of 5229

List of positive integer factors of 5229 that divides 5229 without a remainder.

1, 3, 7, 9, 21, 63, 83, 249, 581, 747, 1743

Step-4: Factors of 5243

List of positive integer factors of 5243 that divides 5229 without a remainder.

1, 7, 49, 107, 749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5229 and 5243. The biggest common factor number is the GCF number.
So the greatest common factor 5229 and 5243 is 7.

Also check out the Least Common Multiple of 5229 and 5243