What is the Greatest Common Factor of 64272 and 64288?

Greatest common factor (GCF) of 64272 and 64288 is 16.

GCF(64272,64288) = 16

We will now calculate the prime factors of 64272 and 64288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64272 and 64288.

How to find the GCF of 64272 and 64288?

We will first find the prime factorization of 64272 and 64288. After we will calculate the factors of 64272 and 64288 and find the biggest common factor number .

Step-1: Prime Factorization of 64272

Prime factors of 64272 are 2, 3, 13, 103. Prime factorization of 64272 in exponential form is:

64272 = 2⁴ × 3¹ × 13¹ × 103¹

Step-2: Prime Factorization of 64288

Prime factors of 64288 are 2, 7, 41. Prime factorization of 64288 in exponential form is:

64288 = 2⁵ × 7² × 41¹

Step-3: Factors of 64272

List of positive integer factors of 64272 that divides 64272 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 103, 104, 156, 206, 208, 309, 312, 412, 618, 624, 824, 1236, 1339, 1648, 2472, 2678, 4017, 4944, 5356, 8034, 10712, 16068, 21424, 32136

Step-4: Factors of 64288

List of positive integer factors of 64288 that divides 64272 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 41, 49, 56, 82, 98, 112, 164, 196, 224, 287, 328, 392, 574, 656, 784, 1148, 1312, 1568, 2009, 2296, 4018, 4592, 8036, 9184, 16072, 32144

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64272 and 64288. The biggest common factor number is the GCF number.
So the greatest common factor 64272 and 64288 is 16.

Also check out the Least Common Multiple of 64272 and 64288