What is the Greatest Common Factor of 32578 and 32585?

Greatest common factor (GCF) of 32578 and 32585 is 7.

GCF(32578,32585) = 7

We will now calculate the prime factors of 32578 and 32585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32578 and 32585.

How to find the GCF of 32578 and 32585?

We will first find the prime factorization of 32578 and 32585. After we will calculate the factors of 32578 and 32585 and find the biggest common factor number .

Step-1: Prime Factorization of 32578

Prime factors of 32578 are 2, 7, 13, 179. Prime factorization of 32578 in exponential form is:

32578 = 2¹ × 7¹ × 13¹ × 179¹

Step-2: Prime Factorization of 32585

Prime factors of 32585 are 5, 7, 19. Prime factorization of 32585 in exponential form is:

32585 = 5¹ × 7³ × 19¹

Step-3: Factors of 32578

List of positive integer factors of 32578 that divides 32578 without a remainder.

1, 2, 7, 13, 14, 26, 91, 179, 182, 358, 1253, 2327, 2506, 4654, 16289

Step-4: Factors of 32585

List of positive integer factors of 32585 that divides 32578 without a remainder.

1, 5, 7, 19, 35, 49, 95, 133, 245, 343, 665, 931, 1715, 4655, 6517

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32578 and 32585. The biggest common factor number is the GCF number.
So the greatest common factor 32578 and 32585 is 7.

Also check out the Least Common Multiple of 32578 and 32585