What is the Greatest Common Factor of 65705 and 65722?

Greatest common factor (GCF) of 65705 and 65722 is 17.

GCF(65705,65722) = 17

We will now calculate the prime factors of 65705 and 65722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65705 and 65722.

How to find the GCF of 65705 and 65722?

We will first find the prime factorization of 65705 and 65722. After we will calculate the factors of 65705 and 65722 and find the biggest common factor number .

Step-1: Prime Factorization of 65705

Prime factors of 65705 are 5, 17, 773. Prime factorization of 65705 in exponential form is:

65705 = 5¹ × 17¹ × 773¹

Step-2: Prime Factorization of 65722

Prime factors of 65722 are 2, 17, 1933. Prime factorization of 65722 in exponential form is:

65722 = 2¹ × 17¹ × 1933¹

Step-3: Factors of 65705

List of positive integer factors of 65705 that divides 65705 without a remainder.

1, 5, 17, 85, 773, 3865, 13141

Step-4: Factors of 65722

List of positive integer factors of 65722 that divides 65705 without a remainder.

1, 2, 17, 34, 1933, 3866, 32861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65705 and 65722. The biggest common factor number is the GCF number.
So the greatest common factor 65705 and 65722 is 17.

Also check out the Least Common Multiple of 65705 and 65722