What is the Greatest Common Factor of 30624 and 30643?

Greatest common factor (GCF) of 30624 and 30643 is 1.

GCF(30624,30643) = 1

We will now calculate the prime factors of 30624 and 30643, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30624 and 30643.

How to find the GCF of 30624 and 30643?

We will first find the prime factorization of 30624 and 30643. After we will calculate the factors of 30624 and 30643 and find the biggest common factor number .

Step-1: Prime Factorization of 30624

Prime factors of 30624 are 2, 3, 11, 29. Prime factorization of 30624 in exponential form is:

30624 = 2⁵ × 3¹ × 11¹ × 29¹

Step-2: Prime Factorization of 30643

Prime factors of 30643 are 30643. Prime factorization of 30643 in exponential form is:

30643 = 30643¹

Step-3: Factors of 30624

List of positive integer factors of 30624 that divides 30624 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 29, 32, 33, 44, 48, 58, 66, 87, 88, 96, 116, 132, 174, 176, 232, 264, 319, 348, 352, 464, 528, 638, 696, 928, 957, 1056, 1276, 1392, 1914, 2552, 2784, 3828, 5104, 7656, 10208, 15312

Step-4: Factors of 30643

List of positive integer factors of 30643 that divides 30624 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30624 and 30643. The biggest common factor number is the GCF number.
So the greatest common factor 30624 and 30643 is 1.

Also check out the Least Common Multiple of 30624 and 30643