What is the Greatest Common Factor of 64250 and 64260?

Greatest common factor (GCF) of 64250 and 64260 is 10.

GCF(64250,64260) = 10

We will now calculate the prime factors of 64250 and 64260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64250 and 64260.

How to find the GCF of 64250 and 64260?

We will first find the prime factorization of 64250 and 64260. After we will calculate the factors of 64250 and 64260 and find the biggest common factor number .

Step-1: Prime Factorization of 64250

Prime factors of 64250 are 2, 5, 257. Prime factorization of 64250 in exponential form is:

64250 = 2¹ × 5³ × 257¹

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 64250

List of positive integer factors of 64250 that divides 64250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250, 257, 514, 1285, 2570, 6425, 12850, 32125

Step-4: Factors of 64260

List of positive integer factors of 64260 that divides 64250 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 64250 and 64260. The biggest common factor number is the GCF number.
So the greatest common factor 64250 and 64260 is 10.

Also check out the Least Common Multiple of 64250 and 64260