What is the Greatest Common Factor of 34638 and 34653?

Greatest common factor (GCF) of 34638 and 34653 is 3.

GCF(34638,34653) = 3

We will now calculate the prime factors of 34638 and 34653, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34638 and 34653.

How to find the GCF of 34638 and 34653?

We will first find the prime factorization of 34638 and 34653. After we will calculate the factors of 34638 and 34653 and find the biggest common factor number .

Step-1: Prime Factorization of 34638

Prime factors of 34638 are 2, 3, 23, 251. Prime factorization of 34638 in exponential form is:

34638 = 2¹ × 3¹ × 23¹ × 251¹

Step-2: Prime Factorization of 34653

Prime factors of 34653 are 3, 11551. Prime factorization of 34653 in exponential form is:

34653 = 3¹ × 11551¹

Step-3: Factors of 34638

List of positive integer factors of 34638 that divides 34638 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 251, 502, 753, 1506, 5773, 11546, 17319

Step-4: Factors of 34653

List of positive integer factors of 34653 that divides 34638 without a remainder.

1, 3, 11551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34638 and 34653. The biggest common factor number is the GCF number.
So the greatest common factor 34638 and 34653 is 3.

Also check out the Least Common Multiple of 34638 and 34653