What is the Greatest Common Factor of 32874 and 32892?

Greatest common factor (GCF) of 32874 and 32892 is 6.

GCF(32874,32892) = 6

We will now calculate the prime factors of 32874 and 32892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32874 and 32892.

How to find the GCF of 32874 and 32892?

We will first find the prime factorization of 32874 and 32892. After we will calculate the factors of 32874 and 32892 and find the biggest common factor number .

Step-1: Prime Factorization of 32874

Prime factors of 32874 are 2, 3, 5479. Prime factorization of 32874 in exponential form is:

32874 = 2¹ × 3¹ × 5479¹

Step-2: Prime Factorization of 32892

Prime factors of 32892 are 2, 3, 2741. Prime factorization of 32892 in exponential form is:

32892 = 2² × 3¹ × 2741¹

Step-3: Factors of 32874

List of positive integer factors of 32874 that divides 32874 without a remainder.

1, 2, 3, 6, 5479, 10958, 16437

Step-4: Factors of 32892

List of positive integer factors of 32892 that divides 32874 without a remainder.

1, 2, 3, 4, 6, 12, 2741, 5482, 8223, 10964, 16446

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32874 and 32892. The biggest common factor number is the GCF number.
So the greatest common factor 32874 and 32892 is 6.

Also check out the Least Common Multiple of 32874 and 32892