What is the Greatest Common Factor of 67830 and 67850?

Greatest common factor (GCF) of 67830 and 67850 is 10.

GCF(67830,67850) = 10

We will now calculate the prime factors of 67830 and 67850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67830 and 67850.

How to find the GCF of 67830 and 67850?

We will first find the prime factorization of 67830 and 67850. After we will calculate the factors of 67830 and 67850 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 67850

Prime factors of 67850 are 2, 5, 23, 59. Prime factorization of 67850 in exponential form is:

67850 = 2¹ × 5² × 23¹ × 59¹

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 67850

List of positive integer factors of 67850 that divides 67830 without a remainder.

1, 2, 5, 10, 23, 25, 46, 50, 59, 115, 118, 230, 295, 575, 590, 1150, 1357, 1475, 2714, 2950, 6785, 13570, 33925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67830 and 67850. The biggest common factor number is the GCF number.
So the greatest common factor 67830 and 67850 is 10.

Also check out the Least Common Multiple of 67830 and 67850