What is the Greatest Common Factor of 67894 and 67900?

Greatest common factor (GCF) of 67894 and 67900 is 2.

GCF(67894,67900) = 2

We will now calculate the prime factors of 67894 and 67900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67894 and 67900.

How to find the GCF of 67894 and 67900?

We will first find the prime factorization of 67894 and 67900. After we will calculate the factors of 67894 and 67900 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 67900

Prime factors of 67900 are 2, 5, 7, 97. Prime factorization of 67900 in exponential form is:

67900 = 2² × 5² × 7¹ × 97¹

Step-3: Factors of 67894

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

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

Step-4: Factors of 67900

List of positive integer factors of 67900 that divides 67894 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 97, 100, 140, 175, 194, 350, 388, 485, 679, 700, 970, 1358, 1940, 2425, 2716, 3395, 4850, 6790, 9700, 13580, 16975, 33950

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67894 and 67900. The biggest common factor number is the GCF number.
So the greatest common factor 67894 and 67900 is 2.

Also check out the Least Common Multiple of 67894 and 67900