What is the Greatest Common Factor of 34638 and 34648?

Greatest common factor (GCF) of 34638 and 34648 is 2.

GCF(34638,34648) = 2

We will now calculate the prime factors of 34638 and 34648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34638 and 34648.

How to find the GCF of 34638 and 34648?

We will first find the prime factorization of 34638 and 34648. After we will calculate the factors of 34638 and 34648 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 34648

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

34648 = 2³ × 61¹ × 71¹

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 34648

List of positive integer factors of 34648 that divides 34638 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34638 and 34648. The biggest common factor number is the GCF number.
So the greatest common factor 34638 and 34648 is 2.

Also check out the Least Common Multiple of 34638 and 34648