What is the Greatest Common Factor of 72268 and 72285?

Greatest common factor (GCF) of 72268 and 72285 is 1.

GCF(72268,72285) = 1

We will now calculate the prime factors of 72268 and 72285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72268 and 72285.

How to find the GCF of 72268 and 72285?

We will first find the prime factorization of 72268 and 72285. After we will calculate the factors of 72268 and 72285 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 72285

Prime factors of 72285 are 3, 5, 61, 79. Prime factorization of 72285 in exponential form is:

72285 = 3¹ × 5¹ × 61¹ × 79¹

Step-3: Factors of 72268

List of positive integer factors of 72268 that divides 72268 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

Step-4: Factors of 72285

List of positive integer factors of 72285 that divides 72268 without a remainder.

1, 3, 5, 15, 61, 79, 183, 237, 305, 395, 915, 1185, 4819, 14457, 24095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72268 and 72285. The biggest common factor number is the GCF number.
So the greatest common factor 72268 and 72285 is 1.

Also check out the Least Common Multiple of 72268 and 72285