What is the Greatest Common Factor of 32860 and 32874?

Greatest common factor (GCF) of 32860 and 32874 is 2.

GCF(32860,32874) = 2

We will now calculate the prime factors of 32860 and 32874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32860 and 32874.

How to find the GCF of 32860 and 32874?

We will first find the prime factorization of 32860 and 32874. After we will calculate the factors of 32860 and 32874 and find the biggest common factor number .

Step-1: Prime Factorization of 32860

Prime factors of 32860 are 2, 5, 31, 53. Prime factorization of 32860 in exponential form is:

32860 = 2² × 5¹ × 31¹ × 53¹

Step-2: 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-3: Factors of 32860

List of positive integer factors of 32860 that divides 32860 without a remainder.

1, 2, 4, 5, 10, 20, 31, 53, 62, 106, 124, 155, 212, 265, 310, 530, 620, 1060, 1643, 3286, 6572, 8215, 16430

Step-4: Factors of 32874

List of positive integer factors of 32874 that divides 32860 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32860 and 32874. The biggest common factor number is the GCF number.
So the greatest common factor 32860 and 32874 is 2.

Also check out the Least Common Multiple of 32860 and 32874