What is the Greatest Common Factor of 29776 and 29792?

Greatest common factor (GCF) of 29776 and 29792 is 16.

GCF(29776,29792) = 16

We will now calculate the prime factors of 29776 and 29792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29776 and 29792.

How to find the GCF of 29776 and 29792?

We will first find the prime factorization of 29776 and 29792. After we will calculate the factors of 29776 and 29792 and find the biggest common factor number .

Step-1: Prime Factorization of 29776

Prime factors of 29776 are 2, 1861. Prime factorization of 29776 in exponential form is:

29776 = 2⁴ × 1861¹

Step-2: 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-3: Factors of 29776

List of positive integer factors of 29776 that divides 29776 without a remainder.

1, 2, 4, 8, 16, 1861, 3722, 7444, 14888

Step-4: Factors of 29792

List of positive integer factors of 29792 that divides 29776 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29776 and 29792. The biggest common factor number is the GCF number.
So the greatest common factor 29776 and 29792 is 16.

Also check out the Least Common Multiple of 29776 and 29792