What is the Greatest Common Factor of 29792 and 29808?

Greatest common factor (GCF) of 29792 and 29808 is 16.

GCF(29792,29808) = 16

We will now calculate the prime factors of 29792 and 29808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29792 and 29808.

How to find the GCF of 29792 and 29808?

We will first find the prime factorization of 29792 and 29808. After we will calculate the factors of 29792 and 29808 and find the biggest common factor number .

Step-1: Prime Factorization of 29792

Prime factors of 29792 are 2, 7, 19. Prime factorization of 29792 in exponential form is:

29792 = 2⁵ × 7² × 19¹

Step-2: Prime Factorization of 29808

Prime factors of 29808 are 2, 3, 23. Prime factorization of 29808 in exponential form is:

29808 = 2⁴ × 3⁴ × 23¹

Step-3: Factors of 29792

List of positive integer factors of 29792 that divides 29792 without a remainder.

1, 2, 4, 7, 8, 14, 16, 19, 28, 32, 38, 49, 56, 76, 98, 112, 133, 152, 196, 224, 266, 304, 392, 532, 608, 784, 931, 1064, 1568, 1862, 2128, 3724, 4256, 7448, 14896

Step-4: Factors of 29808

List of positive integer factors of 29808 that divides 29792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 27, 36, 46, 48, 54, 69, 72, 81, 92, 108, 138, 144, 162, 184, 207, 216, 276, 324, 368, 414, 432, 552, 621, 648, 828, 1104, 1242, 1296, 1656, 1863, 2484, 3312, 3726, 4968, 7452, 9936, 14904

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29792 and 29808. The biggest common factor number is the GCF number.
So the greatest common factor 29792 and 29808 is 16.

Also check out the Least Common Multiple of 29792 and 29808