What is the Greatest Common Factor of 65945 and 65965?

Greatest common factor (GCF) of 65945 and 65965 is 5.

GCF(65945,65965) = 5

We will now calculate the prime factors of 65945 and 65965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65945 and 65965.

How to find the GCF of 65945 and 65965?

We will first find the prime factorization of 65945 and 65965. After we will calculate the factors of 65945 and 65965 and find the biggest common factor number .

Step-1: Prime Factorization of 65945

Prime factors of 65945 are 5, 11, 109. Prime factorization of 65945 in exponential form is:

65945 = 5¹ × 11² × 109¹

Step-2: Prime Factorization of 65965

Prime factors of 65965 are 5, 79, 167. Prime factorization of 65965 in exponential form is:

65965 = 5¹ × 79¹ × 167¹

Step-3: Factors of 65945

List of positive integer factors of 65945 that divides 65945 without a remainder.

1, 5, 11, 55, 109, 121, 545, 605, 1199, 5995, 13189

Step-4: Factors of 65965

List of positive integer factors of 65965 that divides 65945 without a remainder.

1, 5, 79, 167, 395, 835, 13193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65945 and 65965. The biggest common factor number is the GCF number.
So the greatest common factor 65945 and 65965 is 5.

Also check out the Least Common Multiple of 65945 and 65965