What is the Greatest Common Factor of 72268 and 72280?

Greatest common factor (GCF) of 72268 and 72280 is 4.

GCF(72268,72280) = 4

We will now calculate the prime factors of 72268 and 72280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72268 and 72280.

How to find the GCF of 72268 and 72280?

We will first find the prime factorization of 72268 and 72280. After we will calculate the factors of 72268 and 72280 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 72280

Prime factors of 72280 are 2, 5, 13, 139. Prime factorization of 72280 in exponential form is:

72280 = 2³ × 5¹ × 13¹ × 139¹

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 72280

List of positive integer factors of 72280 that divides 72268 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 139, 260, 278, 520, 556, 695, 1112, 1390, 1807, 2780, 3614, 5560, 7228, 9035, 14456, 18070, 36140

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72268 and 72280. The biggest common factor number is the GCF number.
So the greatest common factor 72268 and 72280 is 4.

Also check out the Least Common Multiple of 72268 and 72280