What is the Greatest Common Factor of 67880 and 67894?

Greatest common factor (GCF) of 67880 and 67894 is 2.

GCF(67880,67894) = 2

We will now calculate the prime factors of 67880 and 67894, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67880 and 67894.

How to find the GCF of 67880 and 67894?

We will first find the prime factorization of 67880 and 67894. After we will calculate the factors of 67880 and 67894 and find the biggest common factor number .

Step-1: Prime Factorization of 67880

Prime factors of 67880 are 2, 5, 1697. Prime factorization of 67880 in exponential form is:

67880 = 2³ × 5¹ × 1697¹

Step-2: Prime Factorization of 67894

Prime factors of 67894 are 2, 83, 409. Prime factorization of 67894 in exponential form is:

67894 = 2¹ × 83¹ × 409¹

Step-3: Factors of 67880

List of positive integer factors of 67880 that divides 67880 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1697, 3394, 6788, 8485, 13576, 16970, 33940

Step-4: Factors of 67894

List of positive integer factors of 67894 that divides 67880 without a remainder.

1, 2, 83, 166, 409, 818, 33947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67880 and 67894. The biggest common factor number is the GCF number.
So the greatest common factor 67880 and 67894 is 2.

Also check out the Least Common Multiple of 67880 and 67894