What is the Greatest Common Factor of 72278 and 72288?

Greatest common factor (GCF) of 72278 and 72288 is 2.

GCF(72278,72288) = 2

We will now calculate the prime factors of 72278 and 72288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72278 and 72288.

How to find the GCF of 72278 and 72288?

We will first find the prime factorization of 72278 and 72288. After we will calculate the factors of 72278 and 72288 and find the biggest common factor number .

Step-1: Prime Factorization of 72278

Prime factors of 72278 are 2, 71, 509. Prime factorization of 72278 in exponential form is:

72278 = 2¹ × 71¹ × 509¹

Step-2: Prime Factorization of 72288

Prime factors of 72288 are 2, 3, 251. Prime factorization of 72288 in exponential form is:

72288 = 2⁵ × 3² × 251¹

Step-3: Factors of 72278

List of positive integer factors of 72278 that divides 72278 without a remainder.

1, 2, 71, 142, 509, 1018, 36139

Step-4: Factors of 72288

List of positive integer factors of 72288 that divides 72278 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 251, 288, 502, 753, 1004, 1506, 2008, 2259, 3012, 4016, 4518, 6024, 8032, 9036, 12048, 18072, 24096, 36144

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72278 and 72288. The biggest common factor number is the GCF number.
So the greatest common factor 72278 and 72288 is 2.

Also check out the Least Common Multiple of 72278 and 72288