What is the Greatest Common Factor of 35776 and 35792?

Greatest common factor (GCF) of 35776 and 35792 is 16.

GCF(35776,35792) = 16

We will now calculate the prime factors of 35776 and 35792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35776 and 35792.

How to find the GCF of 35776 and 35792?

We will first find the prime factorization of 35776 and 35792. After we will calculate the factors of 35776 and 35792 and find the biggest common factor number .

Step-1: Prime Factorization of 35776

Prime factors of 35776 are 2, 13, 43. Prime factorization of 35776 in exponential form is:

35776 = 2⁶ × 13¹ × 43¹

Step-2: Prime Factorization of 35792

Prime factors of 35792 are 2, 2237. Prime factorization of 35792 in exponential form is:

35792 = 2⁴ × 2237¹

Step-3: Factors of 35776

List of positive integer factors of 35776 that divides 35776 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 43, 52, 64, 86, 104, 172, 208, 344, 416, 559, 688, 832, 1118, 1376, 2236, 2752, 4472, 8944, 17888

Step-4: Factors of 35792

List of positive integer factors of 35792 that divides 35776 without a remainder.

1, 2, 4, 8, 16, 2237, 4474, 8948, 17896

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35776 and 35792. The biggest common factor number is the GCF number.
So the greatest common factor 35776 and 35792 is 16.

Also check out the Least Common Multiple of 35776 and 35792