What is the Greatest Common Factor of 32759 and 32776?

Greatest common factor (GCF) of 32759 and 32776 is 17.

GCF(32759,32776) = 17

We will now calculate the prime factors of 32759 and 32776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32759 and 32776.

How to find the GCF of 32759 and 32776?

We will first find the prime factorization of 32759 and 32776. After we will calculate the factors of 32759 and 32776 and find the biggest common factor number .

Step-1: Prime Factorization of 32759

Prime factors of 32759 are 17, 41, 47. Prime factorization of 32759 in exponential form is:

32759 = 17¹ × 41¹ × 47¹

Step-2: Prime Factorization of 32776

Prime factors of 32776 are 2, 17, 241. Prime factorization of 32776 in exponential form is:

32776 = 2³ × 17¹ × 241¹

Step-3: Factors of 32759

List of positive integer factors of 32759 that divides 32759 without a remainder.

1, 17, 41, 47, 697, 799, 1927

Step-4: Factors of 32776

List of positive integer factors of 32776 that divides 32759 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 241, 482, 964, 1928, 4097, 8194, 16388

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32759 and 32776. The biggest common factor number is the GCF number.
So the greatest common factor 32759 and 32776 is 17.

Also check out the Least Common Multiple of 32759 and 32776