What is the Greatest Common Factor of 65842 and 65852?

Greatest common factor (GCF) of 65842 and 65852 is 2.

GCF(65842,65852) = 2

We will now calculate the prime factors of 65842 and 65852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65842 and 65852.

How to find the GCF of 65842 and 65852?

We will first find the prime factorization of 65842 and 65852. After we will calculate the factors of 65842 and 65852 and find the biggest common factor number .

Step-1: Prime Factorization of 65842

Prime factors of 65842 are 2, 7, 4703. Prime factorization of 65842 in exponential form is:

65842 = 2¹ × 7¹ × 4703¹

Step-2: Prime Factorization of 65852

Prime factors of 65852 are 2, 101, 163. Prime factorization of 65852 in exponential form is:

65852 = 2² × 101¹ × 163¹

Step-3: Factors of 65842

List of positive integer factors of 65842 that divides 65842 without a remainder.

1, 2, 7, 14, 4703, 9406, 32921

Step-4: Factors of 65852

List of positive integer factors of 65852 that divides 65842 without a remainder.

1, 2, 4, 101, 163, 202, 326, 404, 652, 16463, 32926

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65842 and 65852. The biggest common factor number is the GCF number.
So the greatest common factor 65842 and 65852 is 2.

Also check out the Least Common Multiple of 65842 and 65852