What is the Greatest Common Factor of 32680 and 32695?

Greatest common factor (GCF) of 32680 and 32695 is 5.

GCF(32680,32695) = 5

We will now calculate the prime factors of 32680 and 32695, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32680 and 32695.

How to find the GCF of 32680 and 32695?

We will first find the prime factorization of 32680 and 32695. After we will calculate the factors of 32680 and 32695 and find the biggest common factor number .

Step-1: Prime Factorization of 32680

Prime factors of 32680 are 2, 5, 19, 43. Prime factorization of 32680 in exponential form is:

32680 = 2³ × 5¹ × 19¹ × 43¹

Step-2: Prime Factorization of 32695

Prime factors of 32695 are 5, 13, 503. Prime factorization of 32695 in exponential form is:

32695 = 5¹ × 13¹ × 503¹

Step-3: Factors of 32680

List of positive integer factors of 32680 that divides 32680 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 43, 76, 86, 95, 152, 172, 190, 215, 344, 380, 430, 760, 817, 860, 1634, 1720, 3268, 4085, 6536, 8170, 16340

Step-4: Factors of 32695

List of positive integer factors of 32695 that divides 32680 without a remainder.

1, 5, 13, 65, 503, 2515, 6539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32680 and 32695. The biggest common factor number is the GCF number.
So the greatest common factor 32680 and 32695 is 5.

Also check out the Least Common Multiple of 32680 and 32695