What is the Greatest Common Factor of 65961 and 65973?

Greatest common factor (GCF) of 65961 and 65973 is 3.

GCF(65961,65973) = 3

We will now calculate the prime factors of 65961 and 65973, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65961 and 65973.

How to find the GCF of 65961 and 65973?

We will first find the prime factorization of 65961 and 65973. After we will calculate the factors of 65961 and 65973 and find the biggest common factor number .

Step-1: Prime Factorization of 65961

Prime factors of 65961 are 3, 7, 349. Prime factorization of 65961 in exponential form is:

65961 = 3³ × 7¹ × 349¹

Step-2: Prime Factorization of 65973

Prime factors of 65973 are 3, 21991. Prime factorization of 65973 in exponential form is:

65973 = 3¹ × 21991¹

Step-3: Factors of 65961

List of positive integer factors of 65961 that divides 65961 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 349, 1047, 2443, 3141, 7329, 9423, 21987

Step-4: Factors of 65973

List of positive integer factors of 65973 that divides 65961 without a remainder.

1, 3, 21991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65961 and 65973. The biggest common factor number is the GCF number.
So the greatest common factor 65961 and 65973 is 3.

Also check out the Least Common Multiple of 65961 and 65973