What is the Greatest Common Factor of 64260 and 64267?

Greatest common factor (GCF) of 64260 and 64267 is 7.

GCF(64260,64267) = 7

We will now calculate the prime factors of 64260 and 64267, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64260 and 64267.

How to find the GCF of 64260 and 64267?

We will first find the prime factorization of 64260 and 64267. After we will calculate the factors of 64260 and 64267 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 64267

Prime factors of 64267 are 7, 9181. Prime factorization of 64267 in exponential form is:

64267 = 7¹ × 9181¹

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 64267

List of positive integer factors of 64267 that divides 64260 without a remainder.

1, 7, 9181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64260 and 64267. The biggest common factor number is the GCF number.
So the greatest common factor 64260 and 64267 is 7.

Also check out the Least Common Multiple of 64260 and 64267