What is the Greatest Common Factor of 67874 and 67886?

Greatest common factor (GCF) of 67874 and 67886 is 2.

GCF(67874,67886) = 2

We will now calculate the prime factors of 67874 and 67886, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67874 and 67886.

How to find the GCF of 67874 and 67886?

We will first find the prime factorization of 67874 and 67886. After we will calculate the factors of 67874 and 67886 and find the biggest common factor number .

Step-1: Prime Factorization of 67874

Prime factors of 67874 are 2, 33937. Prime factorization of 67874 in exponential form is:

67874 = 2¹ × 33937¹

Step-2: Prime Factorization of 67886

Prime factors of 67886 are 2, 7, 13, 373. Prime factorization of 67886 in exponential form is:

67886 = 2¹ × 7¹ × 13¹ × 373¹

Step-3: Factors of 67874

List of positive integer factors of 67874 that divides 67874 without a remainder.

1, 2, 33937

Step-4: Factors of 67886

List of positive integer factors of 67886 that divides 67874 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 373, 746, 2611, 4849, 5222, 9698, 33943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67874 and 67886. The biggest common factor number is the GCF number.
So the greatest common factor 67874 and 67886 is 2.

Also check out the Least Common Multiple of 67874 and 67886