What is the Greatest Common Factor of 67849 and 67868?

Greatest common factor (GCF) of 67849 and 67868 is 19.

GCF(67849,67868) = 19

We will now calculate the prime factors of 67849 and 67868, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67849 and 67868.

How to find the GCF of 67849 and 67868?

We will first find the prime factorization of 67849 and 67868. After we will calculate the factors of 67849 and 67868 and find the biggest common factor number .

Step-1: Prime Factorization of 67849

Prime factors of 67849 are 19, 3571. Prime factorization of 67849 in exponential form is:

67849 = 19¹ × 3571¹

Step-2: Prime Factorization of 67868

Prime factors of 67868 are 2, 19, 47. Prime factorization of 67868 in exponential form is:

67868 = 2² × 19² × 47¹

Step-3: Factors of 67849

List of positive integer factors of 67849 that divides 67849 without a remainder.

1, 19, 3571

Step-4: Factors of 67868

List of positive integer factors of 67868 that divides 67849 without a remainder.

1, 2, 4, 19, 38, 47, 76, 94, 188, 361, 722, 893, 1444, 1786, 3572, 16967, 33934

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67849 and 67868. The biggest common factor number is the GCF number.
So the greatest common factor 67849 and 67868 is 19.

Also check out the Least Common Multiple of 67849 and 67868