What is the Greatest Common Factor of 32842 and 32860?

Greatest common factor (GCF) of 32842 and 32860 is 2.

GCF(32842,32860) = 2

We will now calculate the prime factors of 32842 and 32860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32842 and 32860.

How to find the GCF of 32842 and 32860?

We will first find the prime factorization of 32842 and 32860. After we will calculate the factors of 32842 and 32860 and find the biggest common factor number .

Step-1: Prime Factorization of 32842

Prime factors of 32842 are 2, 16421. Prime factorization of 32842 in exponential form is:

32842 = 2¹ × 16421¹

Step-2: 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-3: Factors of 32842

List of positive integer factors of 32842 that divides 32842 without a remainder.

1, 2, 16421

Step-4: Factors of 32860

List of positive integer factors of 32860 that divides 32842 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32842 and 32860. The biggest common factor number is the GCF number.
So the greatest common factor 32842 and 32860 is 2.

Also check out the Least Common Multiple of 32842 and 32860