What is the Greatest Common Factor of 67830 and 67837?

Greatest common factor (GCF) of 67830 and 67837 is 7.

GCF(67830,67837) = 7

We will now calculate the prime factors of 67830 and 67837, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67830 and 67837.

How to find the GCF of 67830 and 67837?

We will first find the prime factorization of 67830 and 67837. After we will calculate the factors of 67830 and 67837 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 67837

Prime factors of 67837 are 7, 11, 881. Prime factorization of 67837 in exponential form is:

67837 = 7¹ × 11¹ × 881¹

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 67837

List of positive integer factors of 67837 that divides 67830 without a remainder.

1, 7, 11, 77, 881, 6167, 9691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67830 and 67837. The biggest common factor number is the GCF number.
So the greatest common factor 67830 and 67837 is 7.

Also check out the Least Common Multiple of 67830 and 67837