What is the Greatest Common Factor of 72226 and 72232?

Greatest common factor (GCF) of 72226 and 72232 is 2.

GCF(72226,72232) = 2

We will now calculate the prime factors of 72226 and 72232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72226 and 72232.

How to find the GCF of 72226 and 72232?

We will first find the prime factorization of 72226 and 72232. After we will calculate the factors of 72226 and 72232 and find the biggest common factor number .

Step-1: Prime Factorization of 72226

Prime factors of 72226 are 2, 7, 11, 67. Prime factorization of 72226 in exponential form is:

72226 = 2¹ × 7² × 11¹ × 67¹

Step-2: Prime Factorization of 72232

Prime factors of 72232 are 2, 9029. Prime factorization of 72232 in exponential form is:

72232 = 2³ × 9029¹

Step-3: Factors of 72226

List of positive integer factors of 72226 that divides 72226 without a remainder.

1, 2, 7, 11, 14, 22, 49, 67, 77, 98, 134, 154, 469, 539, 737, 938, 1078, 1474, 3283, 5159, 6566, 10318, 36113

Step-4: Factors of 72232

List of positive integer factors of 72232 that divides 72226 without a remainder.

1, 2, 4, 8, 9029, 18058, 36116

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72226 and 72232. The biggest common factor number is the GCF number.
So the greatest common factor 72226 and 72232 is 2.

Also check out the Least Common Multiple of 72226 and 72232