What is the Greatest Common Factor of 64260 and 64264?

Greatest common factor (GCF) of 64260 and 64264 is 4.

GCF(64260,64264) = 4

We will now calculate the prime factors of 64260 and 64264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64260 and 64264.

How to find the GCF of 64260 and 64264?

We will first find the prime factorization of 64260 and 64264. After we will calculate the factors of 64260 and 64264 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 64264

Prime factors of 64264 are 2, 29, 277. Prime factorization of 64264 in exponential form is:

64264 = 2³ × 29¹ × 277¹

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 64264

List of positive integer factors of 64264 that divides 64260 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232, 277, 554, 1108, 2216, 8033, 16066, 32132

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64260 and 64264. The biggest common factor number is the GCF number.
So the greatest common factor 64260 and 64264 is 4.

Also check out the Least Common Multiple of 64260 and 64264