What is the Greatest Common Factor of 65842 and 65862?

Greatest common factor (GCF) of 65842 and 65862 is 2.

GCF(65842,65862) = 2

We will now calculate the prime factors of 65842 and 65862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65842 and 65862.

How to find the GCF of 65842 and 65862?

We will first find the prime factorization of 65842 and 65862. After we will calculate the factors of 65842 and 65862 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 65862

Prime factors of 65862 are 2, 3, 3659. Prime factorization of 65862 in exponential form is:

65862 = 2¹ × 3² × 3659¹

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 65862

List of positive integer factors of 65862 that divides 65842 without a remainder.

1, 2, 3, 6, 9, 18, 3659, 7318, 10977, 21954, 32931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65842 and 65862. The biggest common factor number is the GCF number.
So the greatest common factor 65842 and 65862 is 2.

Also check out the Least Common Multiple of 65842 and 65862