What is the Greatest Common Factor of 69300 and 69311?

Greatest common factor (GCF) of 69300 and 69311 is 11.

GCF(69300,69311) = 11

We will now calculate the prime factors of 69300 and 69311, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69300 and 69311.

How to find the GCF of 69300 and 69311?

We will first find the prime factorization of 69300 and 69311. After we will calculate the factors of 69300 and 69311 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 69311

Prime factors of 69311 are 11, 6301. Prime factorization of 69311 in exponential form is:

69311 = 11¹ × 6301¹

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 69311

List of positive integer factors of 69311 that divides 69300 without a remainder.

1, 11, 6301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69300 and 69311. The biggest common factor number is the GCF number.
So the greatest common factor 69300 and 69311 is 11.

Also check out the Least Common Multiple of 69300 and 69311