What is the Greatest Common Factor of 5222 and 5229?

Greatest common factor (GCF) of 5222 and 5229 is 7.

GCF(5222,5229) = 7

We will now calculate the prime factors of 5222 and 5229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5222 and 5229.

How to find the GCF of 5222 and 5229?

We will first find the prime factorization of 5222 and 5229. After we will calculate the factors of 5222 and 5229 and find the biggest common factor number .

Step-1: Prime Factorization of 5222

Prime factors of 5222 are 2, 7, 373. Prime factorization of 5222 in exponential form is:

5222 = 2¹ × 7¹ × 373¹

Step-2: 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-3: Factors of 5222

List of positive integer factors of 5222 that divides 5222 without a remainder.

1, 2, 7, 14, 373, 746, 2611

Step-4: Factors of 5229

List of positive integer factors of 5229 that divides 5222 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5222 and 5229. The biggest common factor number is the GCF number.
So the greatest common factor 5222 and 5229 is 7.

Also check out the Least Common Multiple of 5222 and 5229