What is the Greatest Common Factor of 65798 and 65802?

Greatest common factor (GCF) of 65798 and 65802 is 2.

GCF(65798,65802) = 2

We will now calculate the prime factors of 65798 and 65802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65798 and 65802.

How to find the GCF of 65798 and 65802?

We will first find the prime factorization of 65798 and 65802. After we will calculate the factors of 65798 and 65802 and find the biggest common factor number .

Step-1: Prime Factorization of 65798

Prime factors of 65798 are 2, 167, 197. Prime factorization of 65798 in exponential form is:

65798 = 2¹ × 167¹ × 197¹

Step-2: Prime Factorization of 65802

Prime factors of 65802 are 2, 3, 11, 997. Prime factorization of 65802 in exponential form is:

65802 = 2¹ × 3¹ × 11¹ × 997¹

Step-3: Factors of 65798

List of positive integer factors of 65798 that divides 65798 without a remainder.

1, 2, 167, 197, 334, 394, 32899

Step-4: Factors of 65802

List of positive integer factors of 65802 that divides 65798 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 997, 1994, 2991, 5982, 10967, 21934, 32901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65798 and 65802. The biggest common factor number is the GCF number.
So the greatest common factor 65798 and 65802 is 2.

Also check out the Least Common Multiple of 65798 and 65802