What is the Greatest Common Factor of 67610 and 67615?

Greatest common factor (GCF) of 67610 and 67615 is 5.

GCF(67610,67615) = 5

We will now calculate the prime factors of 67610 and 67615, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67610 and 67615.

How to find the GCF of 67610 and 67615?

We will first find the prime factorization of 67610 and 67615. After we will calculate the factors of 67610 and 67615 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 67615

Prime factors of 67615 are 5, 13523. Prime factorization of 67615 in exponential form is:

67615 = 5¹ × 13523¹

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 67615

List of positive integer factors of 67615 that divides 67610 without a remainder.

1, 5, 13523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67610 and 67615. The biggest common factor number is the GCF number.
So the greatest common factor 67610 and 67615 is 5.

Also check out the Least Common Multiple of 67610 and 67615