What is the Greatest Common Factor of 67582 and 67586?

Greatest common factor (GCF) of 67582 and 67586 is 2.

GCF(67582,67586) = 2

We will now calculate the prime factors of 67582 and 67586, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67582 and 67586.

How to find the GCF of 67582 and 67586?

We will first find the prime factorization of 67582 and 67586. After we will calculate the factors of 67582 and 67586 and find the biggest common factor number .

Step-1: Prime Factorization of 67582

Prime factors of 67582 are 2, 33791. Prime factorization of 67582 in exponential form is:

67582 = 2¹ × 33791¹

Step-2: Prime Factorization of 67586

Prime factors of 67586 are 2, 47, 719. Prime factorization of 67586 in exponential form is:

67586 = 2¹ × 47¹ × 719¹

Step-3: Factors of 67582

List of positive integer factors of 67582 that divides 67582 without a remainder.

1, 2, 33791

Step-4: Factors of 67586

List of positive integer factors of 67586 that divides 67582 without a remainder.

1, 2, 47, 94, 719, 1438, 33793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67582 and 67586. The biggest common factor number is the GCF number.
So the greatest common factor 67582 and 67586 is 2.

Also check out the Least Common Multiple of 67582 and 67586