What is the Greatest Common Factor of 29616 and 29632?

Greatest common factor (GCF) of 29616 and 29632 is 16.

GCF(29616,29632) = 16

We will now calculate the prime factors of 29616 and 29632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29616 and 29632.

How to find the GCF of 29616 and 29632?

We will first find the prime factorization of 29616 and 29632. After we will calculate the factors of 29616 and 29632 and find the biggest common factor number .

Step-1: Prime Factorization of 29616

Prime factors of 29616 are 2, 3, 617. Prime factorization of 29616 in exponential form is:

29616 = 2⁴ × 3¹ × 617¹

Step-2: Prime Factorization of 29632

Prime factors of 29632 are 2, 463. Prime factorization of 29632 in exponential form is:

29632 = 2⁶ × 463¹

Step-3: Factors of 29616

List of positive integer factors of 29616 that divides 29616 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 617, 1234, 1851, 2468, 3702, 4936, 7404, 9872, 14808

Step-4: Factors of 29632

List of positive integer factors of 29632 that divides 29616 without a remainder.

1, 2, 4, 8, 16, 32, 64, 463, 926, 1852, 3704, 7408, 14816

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29616 and 29632. The biggest common factor number is the GCF number.
So the greatest common factor 29616 and 29632 is 16.

Also check out the Least Common Multiple of 29616 and 29632