What is the Greatest Common Factor of 69300 and 69315?

Greatest common factor (GCF) of 69300 and 69315 is 15.

GCF(69300,69315) = 15

We will now calculate the prime factors of 69300 and 69315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69300 and 69315.

How to find the GCF of 69300 and 69315?

We will first find the prime factorization of 69300 and 69315. After we will calculate the factors of 69300 and 69315 and find the biggest common factor number .

Step-1: Prime Factorization of 69300

Prime factors of 69300 are 2, 3, 5, 7, 11. Prime factorization of 69300 in exponential form is:

69300 = 2² × 3² × 5² × 7¹ × 11¹

Step-2: Prime Factorization of 69315

Prime factors of 69315 are 3, 5, 4621. Prime factorization of 69315 in exponential form is:

69315 = 3¹ × 5¹ × 4621¹

Step-3: Factors of 69300

List of positive integer factors of 69300 that divides 69300 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 14, 15, 18, 20, 21, 22, 25, 28, 30, 33, 35, 36, 42, 44, 45, 50, 55, 60, 63, 66, 70, 75, 77, 84, 90, 99, 100, 105, 110, 126, 132, 140, 150, 154, 165, 175, 180, 198, 210, 220, 225, 231, 252, 275, 300, 308, 315, 330, 350, 385, 396, 420, 450, 462, 495, 525, 550, 630, 660, 693, 700, 770, 825, 900, 924, 990, 1050, 1100, 1155, 1260, 1386, 1540, 1575, 1650, 1925, 1980, 2100, 2310, 2475, 2772, 3150, 3300, 3465, 3850, 4620, 4950, 5775, 6300, 6930, 7700, 9900, 11550, 13860, 17325, 23100, 34650

Step-4: Factors of 69315

List of positive integer factors of 69315 that divides 69300 without a remainder.

1, 3, 5, 15, 4621, 13863, 23105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69300 and 69315. The biggest common factor number is the GCF number.
So the greatest common factor 69300 and 69315 is 15.

Also check out the Least Common Multiple of 69300 and 69315