What is the Greatest Common Factor of 76229 and 76248?

Greatest common factor (GCF) of 76229 and 76248 is 1.

GCF(76229,76248) = 1

We will now calculate the prime factors of 76229 and 76248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76229 and 76248.

How to find the GCF of 76229 and 76248?

We will first find the prime factorization of 76229 and 76248. After we will calculate the factors of 76229 and 76248 and find the biggest common factor number .

Step-1: Prime Factorization of 76229

Prime factors of 76229 are 31, 2459. Prime factorization of 76229 in exponential form is:

76229 = 31¹ × 2459¹

Step-2: Prime Factorization of 76248

Prime factors of 76248 are 2, 3, 353. Prime factorization of 76248 in exponential form is:

76248 = 2³ × 3³ × 353¹

Step-3: Factors of 76229

List of positive integer factors of 76229 that divides 76229 without a remainder.

1, 31, 2459

Step-4: Factors of 76248

List of positive integer factors of 76248 that divides 76229 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 353, 706, 1059, 1412, 2118, 2824, 3177, 4236, 6354, 8472, 9531, 12708, 19062, 25416, 38124

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76229 and 76248. The biggest common factor number is the GCF number.
So the greatest common factor 76229 and 76248 is 1.

Also check out the Least Common Multiple of 76229 and 76248