What is the Greatest Common Factor of 67838 and 67852?

Greatest common factor (GCF) of 67838 and 67852 is 2.

GCF(67838,67852) = 2

We will now calculate the prime factors of 67838 and 67852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67838 and 67852.

How to find the GCF of 67838 and 67852?

We will first find the prime factorization of 67838 and 67852. After we will calculate the factors of 67838 and 67852 and find the biggest common factor number .

Step-1: Prime Factorization of 67838

Prime factors of 67838 are 2, 107, 317. Prime factorization of 67838 in exponential form is:

67838 = 2¹ × 107¹ × 317¹

Step-2: Prime Factorization of 67852

Prime factors of 67852 are 2, 16963. Prime factorization of 67852 in exponential form is:

67852 = 2² × 16963¹

Step-3: Factors of 67838

List of positive integer factors of 67838 that divides 67838 without a remainder.

1, 2, 107, 214, 317, 634, 33919

Step-4: Factors of 67852

List of positive integer factors of 67852 that divides 67838 without a remainder.

1, 2, 4, 16963, 33926

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67838 and 67852. The biggest common factor number is the GCF number.
So the greatest common factor 67838 and 67852 is 2.

Also check out the Least Common Multiple of 67838 and 67852