What is the Greatest Common Factor of 96212 and 96222?

Greatest common factor (GCF) of 96212 and 96222 is 2.

GCF(96212,96222) = 2

We will now calculate the prime factors of 96212 and 96222, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96212 and 96222.

How to find the GCF of 96212 and 96222?

We will first find the prime factorization of 96212 and 96222. After we will calculate the factors of 96212 and 96222 and find the biggest common factor number .

Step-1: Prime Factorization of 96212

Prime factors of 96212 are 2, 67, 359. Prime factorization of 96212 in exponential form is:

96212 = 2² × 67¹ × 359¹

Step-2: Prime Factorization of 96222

Prime factors of 96222 are 2, 3, 7, 29, 79. Prime factorization of 96222 in exponential form is:

96222 = 2¹ × 3¹ × 7¹ × 29¹ × 79¹

Step-3: Factors of 96212

List of positive integer factors of 96212 that divides 96212 without a remainder.

1, 2, 4, 67, 134, 268, 359, 718, 1436, 24053, 48106

Step-4: Factors of 96222

List of positive integer factors of 96222 that divides 96212 without a remainder.

1, 2, 3, 6, 7, 14, 21, 29, 42, 58, 79, 87, 158, 174, 203, 237, 406, 474, 553, 609, 1106, 1218, 1659, 2291, 3318, 4582, 6873, 13746, 16037, 32074, 48111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96212 and 96222. The biggest common factor number is the GCF number.
So the greatest common factor 96212 and 96222 is 2.

Also check out the Least Common Multiple of 96212 and 96222