What is the Greatest Common Factor of 67590 and 67610?

Greatest common factor (GCF) of 67590 and 67610 is 10.

GCF(67590,67610) = 10

We will now calculate the prime factors of 67590 and 67610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67590 and 67610.

How to find the GCF of 67590 and 67610?

We will first find the prime factorization of 67590 and 67610. After we will calculate the factors of 67590 and 67610 and find the biggest common factor number .

Step-1: Prime Factorization of 67590

Prime factors of 67590 are 2, 3, 5, 751. Prime factorization of 67590 in exponential form is:

67590 = 2¹ × 3² × 5¹ × 751¹

Step-2: 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-3: Factors of 67590

List of positive integer factors of 67590 that divides 67590 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 751, 1502, 2253, 3755, 4506, 6759, 7510, 11265, 13518, 22530, 33795

Step-4: Factors of 67610

List of positive integer factors of 67610 that divides 67590 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67590 and 67610. The biggest common factor number is the GCF number.
So the greatest common factor 67590 and 67610 is 10.

Also check out the Least Common Multiple of 67590 and 67610