What is the Greatest Common Factor of 64272 and 64290?

Greatest common factor (GCF) of 64272 and 64290 is 6.

GCF(64272,64290) = 6

We will now calculate the prime factors of 64272 and 64290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64272 and 64290.

How to find the GCF of 64272 and 64290?

We will first find the prime factorization of 64272 and 64290. After we will calculate the factors of 64272 and 64290 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 64290

Prime factors of 64290 are 2, 3, 5, 2143. Prime factorization of 64290 in exponential form is:

64290 = 2¹ × 3¹ × 5¹ × 2143¹

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 64290

List of positive integer factors of 64290 that divides 64272 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2143, 4286, 6429, 10715, 12858, 21430, 32145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64272 and 64290. The biggest common factor number is the GCF number.
So the greatest common factor 64272 and 64290 is 6.

Also check out the Least Common Multiple of 64272 and 64290