What is the Greatest Common Factor of 67874 and 67888?

Greatest common factor (GCF) of 67874 and 67888 is 2.

GCF(67874,67888) = 2

We will now calculate the prime factors of 67874 and 67888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67874 and 67888.

How to find the GCF of 67874 and 67888?

We will first find the prime factorization of 67874 and 67888. After we will calculate the factors of 67874 and 67888 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 67888

Prime factors of 67888 are 2, 4243. Prime factorization of 67888 in exponential form is:

67888 = 2⁴ × 4243¹

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 67888

List of positive integer factors of 67888 that divides 67874 without a remainder.

1, 2, 4, 8, 16, 4243, 8486, 16972, 33944

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67874 and 67888. The biggest common factor number is the GCF number.
So the greatest common factor 67874 and 67888 is 2.

Also check out the Least Common Multiple of 67874 and 67888