What is the Greatest Common Factor of 64255 and 64260?

Greatest common factor (GCF) of 64255 and 64260 is 5.

GCF(64255,64260) = 5

We will now calculate the prime factors of 64255 and 64260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64255 and 64260.

How to find the GCF of 64255 and 64260?

We will first find the prime factorization of 64255 and 64260. After we will calculate the factors of 64255 and 64260 and find the biggest common factor number .

Step-1: Prime Factorization of 64255

Prime factors of 64255 are 5, 71, 181. Prime factorization of 64255 in exponential form is:

64255 = 5¹ × 71¹ × 181¹

Step-2: 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-3: Factors of 64255

List of positive integer factors of 64255 that divides 64255 without a remainder.

1, 5, 71, 181, 355, 905, 12851

Step-4: Factors of 64260

List of positive integer factors of 64260 that divides 64255 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64255 and 64260. The biggest common factor number is the GCF number.
So the greatest common factor 64255 and 64260 is 5.

Also check out the Least Common Multiple of 64255 and 64260