What is the Greatest Common Factor of 32900 and 32915?

Greatest common factor (GCF) of 32900 and 32915 is 5.

GCF(32900,32915) = 5

We will now calculate the prime factors of 32900 and 32915, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32900 and 32915.

How to find the GCF of 32900 and 32915?

We will first find the prime factorization of 32900 and 32915. After we will calculate the factors of 32900 and 32915 and find the biggest common factor number .

Step-1: Prime Factorization of 32900

Prime factors of 32900 are 2, 5, 7, 47. Prime factorization of 32900 in exponential form is:

32900 = 2² × 5² × 7¹ × 47¹

Step-2: Prime Factorization of 32915

Prime factors of 32915 are 5, 29, 227. Prime factorization of 32915 in exponential form is:

32915 = 5¹ × 29¹ × 227¹

Step-3: Factors of 32900

List of positive integer factors of 32900 that divides 32900 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 47, 50, 70, 94, 100, 140, 175, 188, 235, 329, 350, 470, 658, 700, 940, 1175, 1316, 1645, 2350, 3290, 4700, 6580, 8225, 16450

Step-4: Factors of 32915

List of positive integer factors of 32915 that divides 32900 without a remainder.

1, 5, 29, 145, 227, 1135, 6583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32900 and 32915. The biggest common factor number is the GCF number.
So the greatest common factor 32900 and 32915 is 5.

Also check out the Least Common Multiple of 32900 and 32915