What is the Greatest Common Factor of 64272 and 64280?

Greatest common factor (GCF) of 64272 and 64280 is 8.

GCF(64272,64280) = 8

We will now calculate the prime factors of 64272 and 64280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64272 and 64280.

How to find the GCF of 64272 and 64280?

We will first find the prime factorization of 64272 and 64280. After we will calculate the factors of 64272 and 64280 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 64280

Prime factors of 64280 are 2, 5, 1607. Prime factorization of 64280 in exponential form is:

64280 = 2³ × 5¹ × 1607¹

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 64280

List of positive integer factors of 64280 that divides 64272 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1607, 3214, 6428, 8035, 12856, 16070, 32140

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64272 and 64280. The biggest common factor number is the GCF number.
So the greatest common factor 64272 and 64280 is 8.

Also check out the Least Common Multiple of 64272 and 64280