What is the Greatest Common Factor of 67610 and 67614?

Greatest common factor (GCF) of 67610 and 67614 is 2.

GCF(67610,67614) = 2

We will now calculate the prime factors of 67610 and 67614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67610 and 67614.

How to find the GCF of 67610 and 67614?

We will first find the prime factorization of 67610 and 67614. After we will calculate the factors of 67610 and 67614 and find the biggest common factor number .

Step-1: Prime Factorization of 67610

Prime factors of 67610 are 2, 5, 6761. Prime factorization of 67610 in exponential form is:

67610 = 2¹ × 5¹ × 6761¹

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 67610

List of positive integer factors of 67610 that divides 67610 without a remainder.

1, 2, 5, 10, 6761, 13522, 33805

Step-4: Factors of 67614

List of positive integer factors of 67614 that divides 67610 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 67610 and 67614. The biggest common factor number is the GCF number.
So the greatest common factor 67610 and 67614 is 2.

Also check out the Least Common Multiple of 67610 and 67614