What is the Greatest Common Factor of 67604 and 67614?

Greatest common factor (GCF) of 67604 and 67614 is 2.

GCF(67604,67614) = 2

We will now calculate the prime factors of 67604 and 67614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67604 and 67614.

How to find the GCF of 67604 and 67614?

We will first find the prime factorization of 67604 and 67614. After we will calculate the factors of 67604 and 67614 and find the biggest common factor number .

Step-1: Prime Factorization of 67604

Prime factors of 67604 are 2, 16901. Prime factorization of 67604 in exponential form is:

67604 = 2² × 16901¹

Step-2: Prime Factorization of 67614

Prime factors of 67614 are 2, 3, 59, 191. Prime factorization of 67614 in exponential form is:

67614 = 2¹ × 3¹ × 59¹ × 191¹

Step-3: Factors of 67604

List of positive integer factors of 67604 that divides 67604 without a remainder.

1, 2, 4, 16901, 33802

Step-4: Factors of 67614

List of positive integer factors of 67614 that divides 67604 without a remainder.

1, 2, 3, 6, 59, 118, 177, 191, 354, 382, 573, 1146, 11269, 22538, 33807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67604 and 67614. The biggest common factor number is the GCF number.
So the greatest common factor 67604 and 67614 is 2.

Also check out the Least Common Multiple of 67604 and 67614