What is the Greatest Common Factor of 5229 and 5235?

Greatest common factor (GCF) of 5229 and 5235 is 3.

GCF(5229,5235) = 3

We will now calculate the prime factors of 5229 and 5235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5229 and 5235.

How to find the GCF of 5229 and 5235?

We will first find the prime factorization of 5229 and 5235. After we will calculate the factors of 5229 and 5235 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 5235

Prime factors of 5235 are 3, 5, 349. Prime factorization of 5235 in exponential form is:

5235 = 3¹ × 5¹ × 349¹

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 5235

List of positive integer factors of 5235 that divides 5229 without a remainder.

1, 3, 5, 15, 349, 1047, 1745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5229 and 5235. The biggest common factor number is the GCF number.
So the greatest common factor 5229 and 5235 is 3.

Also check out the Least Common Multiple of 5229 and 5235