What is the Greatest Common Factor of 32893 and 32900?

Greatest common factor (GCF) of 32893 and 32900 is 7.

GCF(32893,32900) = 7

We will now calculate the prime factors of 32893 and 32900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32893 and 32900.

How to find the GCF of 32893 and 32900?

We will first find the prime factorization of 32893 and 32900. After we will calculate the factors of 32893 and 32900 and find the biggest common factor number .

Step-1: Prime Factorization of 32893

Prime factors of 32893 are 7, 37, 127. Prime factorization of 32893 in exponential form is:

32893 = 7¹ × 37¹ × 127¹

Step-2: 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-3: Factors of 32893

List of positive integer factors of 32893 that divides 32893 without a remainder.

1, 7, 37, 127, 259, 889, 4699

Step-4: Factors of 32900

List of positive integer factors of 32900 that divides 32893 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32893 and 32900. The biggest common factor number is the GCF number.
So the greatest common factor 32893 and 32900 is 7.

Also check out the Least Common Multiple of 32893 and 32900