What is the Greatest Common Factor of 67830 and 67846?

Greatest common factor (GCF) of 67830 and 67846 is 2.

GCF(67830,67846) = 2

We will now calculate the prime factors of 67830 and 67846, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67830 and 67846.

How to find the GCF of 67830 and 67846?

We will first find the prime factorization of 67830 and 67846. After we will calculate the factors of 67830 and 67846 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 67846

Prime factors of 67846 are 2, 33923. Prime factorization of 67846 in exponential form is:

67846 = 2¹ × 33923¹

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 67846

List of positive integer factors of 67846 that divides 67830 without a remainder.

1, 2, 33923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67830 and 67846. The biggest common factor number is the GCF number.
So the greatest common factor 67830 and 67846 is 2.

Also check out the Least Common Multiple of 67830 and 67846