What is the Greatest Common Factor of 72261 and 72268?

Greatest common factor (GCF) of 72261 and 72268 is 7.

GCF(72261,72268) = 7

We will now calculate the prime factors of 72261 and 72268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72261 and 72268.

How to find the GCF of 72261 and 72268?

We will first find the prime factorization of 72261 and 72268. After we will calculate the factors of 72261 and 72268 and find the biggest common factor number .

Step-1: Prime Factorization of 72261

Prime factors of 72261 are 3, 7, 31, 37. Prime factorization of 72261 in exponential form is:

72261 = 3² × 7¹ × 31¹ × 37¹

Step-2: Prime Factorization of 72268

Prime factors of 72268 are 2, 7, 29, 89. Prime factorization of 72268 in exponential form is:

72268 = 2² × 7¹ × 29¹ × 89¹

Step-3: Factors of 72261

List of positive integer factors of 72261 that divides 72261 without a remainder.

1, 3, 7, 9, 21, 31, 37, 63, 93, 111, 217, 259, 279, 333, 651, 777, 1147, 1953, 2331, 3441, 8029, 10323, 24087

Step-4: Factors of 72268

List of positive integer factors of 72268 that divides 72261 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 89, 116, 178, 203, 356, 406, 623, 812, 1246, 2492, 2581, 5162, 10324, 18067, 36134

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72261 and 72268. The biggest common factor number is the GCF number.
So the greatest common factor 72261 and 72268 is 7.

Also check out the Least Common Multiple of 72261 and 72268