What is the Greatest Common Factor of 76212 and 76228?

Greatest common factor (GCF) of 76212 and 76228 is 4.

GCF(76212,76228) = 4

We will now calculate the prime factors of 76212 and 76228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76212 and 76228.

How to find the GCF of 76212 and 76228?

We will first find the prime factorization of 76212 and 76228. After we will calculate the factors of 76212 and 76228 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 76228

Prime factors of 76228 are 2, 17, 19, 59. Prime factorization of 76228 in exponential form is:

76228 = 2² × 17¹ × 19¹ × 59¹

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 76228

List of positive integer factors of 76228 that divides 76212 without a remainder.

1, 2, 4, 17, 19, 34, 38, 59, 68, 76, 118, 236, 323, 646, 1003, 1121, 1292, 2006, 2242, 4012, 4484, 19057, 38114

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76212 and 76228. The biggest common factor number is the GCF number.
So the greatest common factor 76212 and 76228 is 4.

Also check out the Least Common Multiple of 76212 and 76228