What is the Greatest Common Factor of 34624 and 34630?

Greatest common factor (GCF) of 34624 and 34630 is 2.

GCF(34624,34630) = 2

We will now calculate the prime factors of 34624 and 34630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34624 and 34630.

How to find the GCF of 34624 and 34630?

We will first find the prime factorization of 34624 and 34630. After we will calculate the factors of 34624 and 34630 and find the biggest common factor number .

Step-1: Prime Factorization of 34624

Prime factors of 34624 are 2, 541. Prime factorization of 34624 in exponential form is:

34624 = 2⁶ × 541¹

Step-2: Prime Factorization of 34630

Prime factors of 34630 are 2, 5, 3463. Prime factorization of 34630 in exponential form is:

34630 = 2¹ × 5¹ × 3463¹

Step-3: Factors of 34624

List of positive integer factors of 34624 that divides 34624 without a remainder.

1, 2, 4, 8, 16, 32, 64, 541, 1082, 2164, 4328, 8656, 17312

Step-4: Factors of 34630

List of positive integer factors of 34630 that divides 34624 without a remainder.

1, 2, 5, 10, 3463, 6926, 17315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34624 and 34630. The biggest common factor number is the GCF number.
So the greatest common factor 34624 and 34630 is 2.

Also check out the Least Common Multiple of 34624 and 34630