What is the Greatest Common Factor of 67842 and 67858?

Greatest common factor (GCF) of 67842 and 67858 is 2.

GCF(67842,67858) = 2

We will now calculate the prime factors of 67842 and 67858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67842 and 67858.

How to find the GCF of 67842 and 67858?

We will first find the prime factorization of 67842 and 67858. After we will calculate the factors of 67842 and 67858 and find the biggest common factor number .

Step-1: Prime Factorization of 67842

Prime factors of 67842 are 2, 3, 3769. Prime factorization of 67842 in exponential form is:

67842 = 2¹ × 3² × 3769¹

Step-2: Prime Factorization of 67858

Prime factors of 67858 are 2, 7, 37, 131. Prime factorization of 67858 in exponential form is:

67858 = 2¹ × 7¹ × 37¹ × 131¹

Step-3: Factors of 67842

List of positive integer factors of 67842 that divides 67842 without a remainder.

1, 2, 3, 6, 9, 18, 3769, 7538, 11307, 22614, 33921

Step-4: Factors of 67858

List of positive integer factors of 67858 that divides 67842 without a remainder.

1, 2, 7, 14, 37, 74, 131, 259, 262, 518, 917, 1834, 4847, 9694, 33929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67842 and 67858. The biggest common factor number is the GCF number.
So the greatest common factor 67842 and 67858 is 2.

Also check out the Least Common Multiple of 67842 and 67858