What is the Greatest Common Factor of 34648 and 34659?

Greatest common factor (GCF) of 34648 and 34659 is 1.

GCF(34648,34659) = 1

We will now calculate the prime factors of 34648 and 34659, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34648 and 34659.

How to find the GCF of 34648 and 34659?

We will first find the prime factorization of 34648 and 34659. After we will calculate the factors of 34648 and 34659 and find the biggest common factor number .

Step-1: Prime Factorization of 34648

Prime factors of 34648 are 2, 61, 71. Prime factorization of 34648 in exponential form is:

34648 = 2³ × 61¹ × 71¹

Step-2: Prime Factorization of 34659

Prime factors of 34659 are 3, 3851. Prime factorization of 34659 in exponential form is:

34659 = 3² × 3851¹

Step-3: Factors of 34648

List of positive integer factors of 34648 that divides 34648 without a remainder.

1, 2, 4, 8, 61, 71, 122, 142, 244, 284, 488, 568, 4331, 8662, 17324

Step-4: Factors of 34659

List of positive integer factors of 34659 that divides 34648 without a remainder.

1, 3, 9, 3851, 11553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34648 and 34659. The biggest common factor number is the GCF number.
So the greatest common factor 34648 and 34659 is 1.

Also check out the Least Common Multiple of 34648 and 34659