What is the Greatest Common Factor of 67830 and 67843?

Greatest common factor (GCF) of 67830 and 67843 is 1.

GCF(67830,67843) = 1

We will now calculate the prime factors of 67830 and 67843, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67830 and 67843.

How to find the GCF of 67830 and 67843?

We will first find the prime factorization of 67830 and 67843. After we will calculate the factors of 67830 and 67843 and find the biggest common factor number .

Step-1: Prime Factorization of 67830

Prime factors of 67830 are 2, 3, 5, 7, 17, 19. Prime factorization of 67830 in exponential form is:

67830 = 2¹ × 3¹ × 5¹ × 7¹ × 17¹ × 19¹

Step-2: Prime Factorization of 67843

Prime factors of 67843 are 67843. Prime factorization of 67843 in exponential form is:

67843 = 67843¹

Step-3: Factors of 67830

List of positive integer factors of 67830 that divides 67830 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 17, 19, 21, 30, 34, 35, 38, 42, 51, 57, 70, 85, 95, 102, 105, 114, 119, 133, 170, 190, 210, 238, 255, 266, 285, 323, 357, 399, 510, 570, 595, 646, 665, 714, 798, 969, 1190, 1330, 1615, 1785, 1938, 1995, 2261, 3230, 3570, 3990, 4522, 4845, 6783, 9690, 11305, 13566, 22610, 33915

Step-4: Factors of 67843

List of positive integer factors of 67843 that divides 67830 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67830 and 67843. The biggest common factor number is the GCF number.
So the greatest common factor 67830 and 67843 is 1.

Also check out the Least Common Multiple of 67830 and 67843