What is the Greatest Common Factor of 76224 and 76229?

Greatest common factor (GCF) of 76224 and 76229 is 1.

GCF(76224,76229) = 1

We will now calculate the prime factors of 76224 and 76229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76224 and 76229.

How to find the GCF of 76224 and 76229?

We will first find the prime factorization of 76224 and 76229. After we will calculate the factors of 76224 and 76229 and find the biggest common factor number .

Step-1: Prime Factorization of 76224

Prime factors of 76224 are 2, 3, 397. Prime factorization of 76224 in exponential form is:

76224 = 2⁶ × 3¹ × 397¹

Step-2: Prime Factorization of 76229

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

76229 = 31¹ × 2459¹

Step-3: Factors of 76224

List of positive integer factors of 76224 that divides 76224 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 397, 794, 1191, 1588, 2382, 3176, 4764, 6352, 9528, 12704, 19056, 25408, 38112

Step-4: Factors of 76229

List of positive integer factors of 76229 that divides 76224 without a remainder.

1, 31, 2459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76224 and 76229. The biggest common factor number is the GCF number.
So the greatest common factor 76224 and 76229 is 1.

Also check out the Least Common Multiple of 76224 and 76229