What is the Greatest Common Factor of 34965 and 34985?

Greatest common factor (GCF) of 34965 and 34985 is 5.

GCF(34965,34985) = 5

We will now calculate the prime factors of 34965 and 34985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34965 and 34985.

How to find the GCF of 34965 and 34985?

We will first find the prime factorization of 34965 and 34985. After we will calculate the factors of 34965 and 34985 and find the biggest common factor number .

Step-1: Prime Factorization of 34965

Prime factors of 34965 are 3, 5, 7, 37. Prime factorization of 34965 in exponential form is:

34965 = 3³ × 5¹ × 7¹ × 37¹

Step-2: Prime Factorization of 34985

Prime factors of 34985 are 5, 6997. Prime factorization of 34985 in exponential form is:

34985 = 5¹ × 6997¹

Step-3: Factors of 34965

List of positive integer factors of 34965 that divides 34965 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 37, 45, 63, 105, 111, 135, 185, 189, 259, 315, 333, 555, 777, 945, 999, 1295, 1665, 2331, 3885, 4995, 6993, 11655

Step-4: Factors of 34985

List of positive integer factors of 34985 that divides 34965 without a remainder.

1, 5, 6997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34965 and 34985. The biggest common factor number is the GCF number.
So the greatest common factor 34965 and 34985 is 5.

Also check out the Least Common Multiple of 34965 and 34985