What is the Greatest Common Factor of 32712 and 32732?

Greatest common factor (GCF) of 32712 and 32732 is 4.

GCF(32712,32732) = 4

We will now calculate the prime factors of 32712 and 32732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32712 and 32732.

How to find the GCF of 32712 and 32732?

We will first find the prime factorization of 32712 and 32732. After we will calculate the factors of 32712 and 32732 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 32732

Prime factors of 32732 are 2, 7, 167. Prime factorization of 32732 in exponential form is:

32732 = 2² × 7² × 167¹

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 32732

List of positive integer factors of 32732 that divides 32712 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 167, 196, 334, 668, 1169, 2338, 4676, 8183, 16366

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32712 and 32732. The biggest common factor number is the GCF number.
So the greatest common factor 32712 and 32732 is 4.

Also check out the Least Common Multiple of 32712 and 32732