What is the Greatest Common Factor of 32100 and 32107?

Greatest common factor (GCF) of 32100 and 32107 is 1.

GCF(32100,32107) = 1

We will now calculate the prime factors of 32100 and 32107, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32100 and 32107.

How to find the GCF of 32100 and 32107?

We will first find the prime factorization of 32100 and 32107. After we will calculate the factors of 32100 and 32107 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 32107

Prime factors of 32107 are 97, 331. Prime factorization of 32107 in exponential form is:

32107 = 97¹ × 331¹

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 32107

List of positive integer factors of 32107 that divides 32100 without a remainder.

1, 97, 331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32100 and 32107. The biggest common factor number is the GCF number.
So the greatest common factor 32100 and 32107 is 1.

Also check out the Least Common Multiple of 32100 and 32107