What is the Greatest Common Factor of 65985 and 65998?

Greatest common factor (GCF) of 65985 and 65998 is 1.

GCF(65985,65998) = 1

We will now calculate the prime factors of 65985 and 65998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65985 and 65998.

How to find the GCF of 65985 and 65998?

We will first find the prime factorization of 65985 and 65998. After we will calculate the factors of 65985 and 65998 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 65998

Prime factors of 65998 are 2, 32999. Prime factorization of 65998 in exponential form is:

65998 = 2¹ × 32999¹

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 65998

List of positive integer factors of 65998 that divides 65985 without a remainder.

1, 2, 32999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65985 and 65998. The biggest common factor number is the GCF number.
So the greatest common factor 65985 and 65998 is 1.

Also check out the Least Common Multiple of 65985 and 65998