What is the Greatest Common Factor of 64260 and 64280?

Greatest common factor (GCF) of 64260 and 64280 is 20.

GCF(64260,64280) = 20

We will now calculate the prime factors of 64260 and 64280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64260 and 64280.

How to find the GCF of 64260 and 64280?

We will first find the prime factorization of 64260 and 64280. After we will calculate the factors of 64260 and 64280 and find the biggest common factor number .

Step-1: Prime Factorization of 64260

Prime factors of 64260 are 2, 3, 5, 7, 17. Prime factorization of 64260 in exponential form is:

64260 = 2² × 3³ × 5¹ × 7¹ × 17¹

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 64260

List of positive integer factors of 64260 that divides 64260 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 17, 18, 20, 21, 27, 28, 30, 34, 35, 36, 42, 45, 51, 54, 60, 63, 68, 70, 84, 85, 90, 102, 105, 108, 119, 126, 135, 140, 153, 170, 180, 189, 204, 210, 238, 252, 255, 270, 306, 315, 340, 357, 378, 420, 459, 476, 510, 540, 595, 612, 630, 714, 756, 765, 918, 945, 1020, 1071, 1190, 1260, 1428, 1530, 1785, 1836, 1890, 2142, 2295, 2380, 3060, 3213, 3570, 3780, 4284, 4590, 5355, 6426, 7140, 9180, 10710, 12852, 16065, 21420, 32130

Step-4: Factors of 64280

List of positive integer factors of 64280 that divides 64260 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 64260 and 64280. The biggest common factor number is the GCF number.
So the greatest common factor 64260 and 64280 is 20.

Also check out the Least Common Multiple of 64260 and 64280