What is the Greatest Common Factor of 32712 and 32730?

Greatest common factor (GCF) of 32712 and 32730 is 6.

GCF(32712,32730) = 6

We will now calculate the prime factors of 32712 and 32730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32712 and 32730.

How to find the GCF of 32712 and 32730?

We will first find the prime factorization of 32712 and 32730. After we will calculate the factors of 32712 and 32730 and find the biggest common factor number .

Step-1: Prime Factorization of 32712

Prime factors of 32712 are 2, 3, 29, 47. Prime factorization of 32712 in exponential form is:

32712 = 2³ × 3¹ × 29¹ × 47¹

Step-2: Prime Factorization of 32730

Prime factors of 32730 are 2, 3, 5, 1091. Prime factorization of 32730 in exponential form is:

32730 = 2¹ × 3¹ × 5¹ × 1091¹

Step-3: Factors of 32712

List of positive integer factors of 32712 that divides 32712 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 47, 58, 87, 94, 116, 141, 174, 188, 232, 282, 348, 376, 564, 696, 1128, 1363, 2726, 4089, 5452, 8178, 10904, 16356

Step-4: Factors of 32730

List of positive integer factors of 32730 that divides 32712 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1091, 2182, 3273, 5455, 6546, 10910, 16365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32712 and 32730. The biggest common factor number is the GCF number.
So the greatest common factor 32712 and 32730 is 6.

Also check out the Least Common Multiple of 32712 and 32730