What is the Greatest Common Factor of 65985 and 65990?

Greatest common factor (GCF) of 65985 and 65990 is 5.

GCF(65985,65990) = 5

We will now calculate the prime factors of 65985 and 65990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65985 and 65990.

How to find the GCF of 65985 and 65990?

We will first find the prime factorization of 65985 and 65990. After we will calculate the factors of 65985 and 65990 and find the biggest common factor number .

Step-1: Prime Factorization of 65985

Prime factors of 65985 are 3, 5, 53, 83. Prime factorization of 65985 in exponential form is:

65985 = 3¹ × 5¹ × 53¹ × 83¹

Step-2: Prime Factorization of 65990

Prime factors of 65990 are 2, 5, 6599. Prime factorization of 65990 in exponential form is:

65990 = 2¹ × 5¹ × 6599¹

Step-3: Factors of 65985

List of positive integer factors of 65985 that divides 65985 without a remainder.

1, 3, 5, 15, 53, 83, 159, 249, 265, 415, 795, 1245, 4399, 13197, 21995

Step-4: Factors of 65990

List of positive integer factors of 65990 that divides 65985 without a remainder.

1, 2, 5, 10, 6599, 13198, 32995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65985 and 65990. The biggest common factor number is the GCF number.
So the greatest common factor 65985 and 65990 is 5.

Also check out the Least Common Multiple of 65985 and 65990