What is the Greatest Common Factor of 61965 and 61969?

Greatest common factor (GCF) of 61965 and 61969 is 1.

GCF(61965,61969) = 1

We will now calculate the prime factors of 61965 and 61969, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61965 and 61969.

How to find the GCF of 61965 and 61969?

We will first find the prime factorization of 61965 and 61969. After we will calculate the factors of 61965 and 61969 and find the biggest common factor number .

Step-1: Prime Factorization of 61965

Prime factors of 61965 are 3, 5, 17. Prime factorization of 61965 in exponential form is:

61965 = 3⁶ × 5¹ × 17¹

Step-2: Prime Factorization of 61969

Prime factors of 61969 are 31, 1999. Prime factorization of 61969 in exponential form is:

61969 = 31¹ × 1999¹

Step-3: Factors of 61965

List of positive integer factors of 61965 that divides 61965 without a remainder.

1, 3, 5, 9, 15, 17, 27, 45, 51, 81, 85, 135, 153, 243, 255, 405, 459, 729, 765, 1215, 1377, 2295, 3645, 4131, 6885, 12393, 20655

Step-4: Factors of 61969

List of positive integer factors of 61969 that divides 61965 without a remainder.

1, 31, 1999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61965 and 61969. The biggest common factor number is the GCF number.
So the greatest common factor 61965 and 61969 is 1.

Also check out the Least Common Multiple of 61965 and 61969