What is the Greatest Common Factor of 76212 and 76229?

Greatest common factor (GCF) of 76212 and 76229 is 1.

GCF(76212,76229) = 1

We will now calculate the prime factors of 76212 and 76229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76212 and 76229.

How to find the GCF of 76212 and 76229?

We will first find the prime factorization of 76212 and 76229. After we will calculate the factors of 76212 and 76229 and find the biggest common factor number .

Step-1: Prime Factorization of 76212

Prime factors of 76212 are 2, 3, 29, 73. Prime factorization of 76212 in exponential form is:

76212 = 2² × 3² × 29¹ × 73¹

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 76212

List of positive integer factors of 76212 that divides 76212 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 58, 73, 87, 116, 146, 174, 219, 261, 292, 348, 438, 522, 657, 876, 1044, 1314, 2117, 2628, 4234, 6351, 8468, 12702, 19053, 25404, 38106

Step-4: Factors of 76229

List of positive integer factors of 76229 that divides 76212 without a remainder.

1, 31, 2459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76212 and 76229. The biggest common factor number is the GCF number.
So the greatest common factor 76212 and 76229 is 1.

Also check out the Least Common Multiple of 76212 and 76229