What is the Greatest Common Factor of 65268 and 65275?

Greatest common factor (GCF) of 65268 and 65275 is 7.

GCF(65268,65275) = 7

We will now calculate the prime factors of 65268 and 65275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65268 and 65275.

How to find the GCF of 65268 and 65275?

We will first find the prime factorization of 65268 and 65275. After we will calculate the factors of 65268 and 65275 and find the biggest common factor number .

Step-1: Prime Factorization of 65268

Prime factors of 65268 are 2, 3, 7, 37. Prime factorization of 65268 in exponential form is:

65268 = 2² × 3² × 7² × 37¹

Step-2: Prime Factorization of 65275

Prime factors of 65275 are 5, 7, 373. Prime factorization of 65275 in exponential form is:

65275 = 5² × 7¹ × 373¹

Step-3: Factors of 65268

List of positive integer factors of 65268 that divides 65268 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 37, 42, 49, 63, 74, 84, 98, 111, 126, 147, 148, 196, 222, 252, 259, 294, 333, 441, 444, 518, 588, 666, 777, 882, 1036, 1332, 1554, 1764, 1813, 2331, 3108, 3626, 4662, 5439, 7252, 9324, 10878, 16317, 21756, 32634

Step-4: Factors of 65275

List of positive integer factors of 65275 that divides 65268 without a remainder.

1, 5, 7, 25, 35, 175, 373, 1865, 2611, 9325, 13055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65268 and 65275. The biggest common factor number is the GCF number.
So the greatest common factor 65268 and 65275 is 7.

Also check out the Least Common Multiple of 65268 and 65275