What is the Greatest Common Factor of 32457 and 32472?

Greatest common factor (GCF) of 32457 and 32472 is 3.

GCF(32457,32472) = 3

We will now calculate the prime factors of 32457 and 32472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32457 and 32472.

How to find the GCF of 32457 and 32472?

We will first find the prime factorization of 32457 and 32472. After we will calculate the factors of 32457 and 32472 and find the biggest common factor number .

Step-1: Prime Factorization of 32457

Prime factors of 32457 are 3, 31, 349. Prime factorization of 32457 in exponential form is:

32457 = 3¹ × 31¹ × 349¹

Step-2: Prime Factorization of 32472

Prime factors of 32472 are 2, 3, 11, 41. Prime factorization of 32472 in exponential form is:

32472 = 2³ × 3² × 11¹ × 41¹

Step-3: Factors of 32457

List of positive integer factors of 32457 that divides 32457 without a remainder.

1, 3, 31, 93, 349, 1047, 10819

Step-4: Factors of 32472

List of positive integer factors of 32472 that divides 32457 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 41, 44, 66, 72, 82, 88, 99, 123, 132, 164, 198, 246, 264, 328, 369, 396, 451, 492, 738, 792, 902, 984, 1353, 1476, 1804, 2706, 2952, 3608, 4059, 5412, 8118, 10824, 16236

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32457 and 32472. The biggest common factor number is the GCF number.
So the greatest common factor 32457 and 32472 is 3.

Also check out the Least Common Multiple of 32457 and 32472