What is the Greatest Common Factor of 69300 and 69307?

Greatest common factor (GCF) of 69300 and 69307 is 7.

GCF(69300,69307) = 7

We will now calculate the prime factors of 69300 and 69307, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69300 and 69307.

How to find the GCF of 69300 and 69307?

We will first find the prime factorization of 69300 and 69307. After we will calculate the factors of 69300 and 69307 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 69307

Prime factors of 69307 are 7, 9901. Prime factorization of 69307 in exponential form is:

69307 = 7¹ × 9901¹

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 69307

List of positive integer factors of 69307 that divides 69300 without a remainder.

1, 7, 9901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69300 and 69307. The biggest common factor number is the GCF number.
So the greatest common factor 69300 and 69307 is 7.

Also check out the Least Common Multiple of 69300 and 69307