What is the Greatest Common Factor of 66965 and 66985?

Greatest common factor (GCF) of 66965 and 66985 is 5.

GCF(66965,66985) = 5

We will now calculate the prime factors of 66965 and 66985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66965 and 66985.

How to find the GCF of 66965 and 66985?

We will first find the prime factorization of 66965 and 66985. After we will calculate the factors of 66965 and 66985 and find the biggest common factor number .

Step-1: Prime Factorization of 66965

Prime factors of 66965 are 5, 59, 227. Prime factorization of 66965 in exponential form is:

66965 = 5¹ × 59¹ × 227¹

Step-2: Prime Factorization of 66985

Prime factors of 66985 are 5, 13397. Prime factorization of 66985 in exponential form is:

66985 = 5¹ × 13397¹

Step-3: Factors of 66965

List of positive integer factors of 66965 that divides 66965 without a remainder.

1, 5, 59, 227, 295, 1135, 13393

Step-4: Factors of 66985

List of positive integer factors of 66985 that divides 66965 without a remainder.

1, 5, 13397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66965 and 66985. The biggest common factor number is the GCF number.
So the greatest common factor 66965 and 66985 is 5.

Also check out the Least Common Multiple of 66965 and 66985