What is the Greatest Common Factor of 32100 and 32105?

Greatest common factor (GCF) of 32100 and 32105 is 5.

GCF(32100,32105) = 5

We will now calculate the prime factors of 32100 and 32105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32100 and 32105.

How to find the GCF of 32100 and 32105?

We will first find the prime factorization of 32100 and 32105. After we will calculate the factors of 32100 and 32105 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 32105

Prime factors of 32105 are 5, 6421. Prime factorization of 32105 in exponential form is:

32105 = 5¹ × 6421¹

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 32105

List of positive integer factors of 32105 that divides 32100 without a remainder.

1, 5, 6421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32100 and 32105. The biggest common factor number is the GCF number.
So the greatest common factor 32100 and 32105 is 5.

Also check out the Least Common Multiple of 32100 and 32105