What is the Greatest Common Factor of 32100 and 32115?

Greatest common factor (GCF) of 32100 and 32115 is 15.

GCF(32100,32115) = 15

We will now calculate the prime factors of 32100 and 32115, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32100 and 32115.

How to find the GCF of 32100 and 32115?

We will first find the prime factorization of 32100 and 32115. After we will calculate the factors of 32100 and 32115 and find the biggest common factor number .

Step-1: Prime Factorization of 32100

Prime factors of 32100 are 2, 3, 5, 107. Prime factorization of 32100 in exponential form is:

32100 = 2² × 3¹ × 5² × 107¹

Step-2: Prime Factorization of 32115

Prime factors of 32115 are 3, 5, 2141. Prime factorization of 32115 in exponential form is:

32115 = 3¹ × 5¹ × 2141¹

Step-3: Factors of 32100

List of positive integer factors of 32100 that divides 32100 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 107, 150, 214, 300, 321, 428, 535, 642, 1070, 1284, 1605, 2140, 2675, 3210, 5350, 6420, 8025, 10700, 16050

Step-4: Factors of 32115

List of positive integer factors of 32115 that divides 32100 without a remainder.

1, 3, 5, 15, 2141, 6423, 10705

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32100 and 32115. The biggest common factor number is the GCF number.
So the greatest common factor 32100 and 32115 is 15.

Also check out the Least Common Multiple of 32100 and 32115