What is the Greatest Common Factor of 72268 and 72275?

Greatest common factor (GCF) of 72268 and 72275 is 7.

GCF(72268,72275) = 7

We will now calculate the prime factors of 72268 and 72275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72268 and 72275.

How to find the GCF of 72268 and 72275?

We will first find the prime factorization of 72268 and 72275. After we will calculate the factors of 72268 and 72275 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 72275

Prime factors of 72275 are 5, 7, 59. Prime factorization of 72275 in exponential form is:

72275 = 5² × 7² × 59¹

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 72275

List of positive integer factors of 72275 that divides 72268 without a remainder.

1, 5, 7, 25, 35, 49, 59, 175, 245, 295, 413, 1225, 1475, 2065, 2891, 10325, 14455

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72268 and 72275. The biggest common factor number is the GCF number.
So the greatest common factor 72268 and 72275 is 7.

Also check out the Least Common Multiple of 72268 and 72275