What is the Greatest Common Factor of 35776 and 35789?

Greatest common factor (GCF) of 35776 and 35789 is 13.

GCF(35776,35789) = 13

We will now calculate the prime factors of 35776 and 35789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35776 and 35789.

How to find the GCF of 35776 and 35789?

We will first find the prime factorization of 35776 and 35789. After we will calculate the factors of 35776 and 35789 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 35789

Prime factors of 35789 are 13, 2753. Prime factorization of 35789 in exponential form is:

35789 = 13¹ × 2753¹

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 35789

List of positive integer factors of 35789 that divides 35776 without a remainder.

1, 13, 2753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35776 and 35789. The biggest common factor number is the GCF number.
So the greatest common factor 35776 and 35789 is 13.

Also check out the Least Common Multiple of 35776 and 35789