What is the Greatest Common Factor of 72226 and 72239?

Greatest common factor (GCF) of 72226 and 72239 is 1.

GCF(72226,72239) = 1

We will now calculate the prime factors of 72226 and 72239, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72226 and 72239.

How to find the GCF of 72226 and 72239?

We will first find the prime factorization of 72226 and 72239. After we will calculate the factors of 72226 and 72239 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 72239

Prime factors of 72239 are 29, 47, 53. Prime factorization of 72239 in exponential form is:

72239 = 29¹ × 47¹ × 53¹

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 72239

List of positive integer factors of 72239 that divides 72226 without a remainder.

1, 29, 47, 53, 1363, 1537, 2491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72226 and 72239. The biggest common factor number is the GCF number.
So the greatest common factor 72226 and 72239 is 1.

Also check out the Least Common Multiple of 72226 and 72239