What is the Greatest Common Factor of 64248 and 64260?

Greatest common factor (GCF) of 64248 and 64260 is 12.

GCF(64248,64260) = 12

We will now calculate the prime factors of 64248 and 64260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64248 and 64260.

How to find the GCF of 64248 and 64260?

We will first find the prime factorization of 64248 and 64260. After we will calculate the factors of 64248 and 64260 and find the biggest common factor number .

Step-1: Prime Factorization of 64248

Prime factors of 64248 are 2, 3, 2677. Prime factorization of 64248 in exponential form is:

64248 = 2³ × 3¹ × 2677¹

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 64248

List of positive integer factors of 64248 that divides 64248 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2677, 5354, 8031, 10708, 16062, 21416, 32124

Step-4: Factors of 64260

List of positive integer factors of 64260 that divides 64248 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 64248 and 64260. The biggest common factor number is the GCF number.
So the greatest common factor 64248 and 64260 is 12.

Also check out the Least Common Multiple of 64248 and 64260