What is the Greatest Common Factor of 65967 and 65978?

Greatest common factor (GCF) of 65967 and 65978 is 11.

GCF(65967,65978) = 11

We will now calculate the prime factors of 65967 and 65978, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65967 and 65978.

How to find the GCF of 65967 and 65978?

We will first find the prime factorization of 65967 and 65978. After we will calculate the factors of 65967 and 65978 and find the biggest common factor number .

Step-1: Prime Factorization of 65967

Prime factors of 65967 are 3, 11, 1999. Prime factorization of 65967 in exponential form is:

65967 = 3¹ × 11¹ × 1999¹

Step-2: Prime Factorization of 65978

Prime factors of 65978 are 2, 11, 2999. Prime factorization of 65978 in exponential form is:

65978 = 2¹ × 11¹ × 2999¹

Step-3: Factors of 65967

List of positive integer factors of 65967 that divides 65967 without a remainder.

1, 3, 11, 33, 1999, 5997, 21989

Step-4: Factors of 65978

List of positive integer factors of 65978 that divides 65967 without a remainder.

1, 2, 11, 22, 2999, 5998, 32989

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65967 and 65978. The biggest common factor number is the GCF number.
So the greatest common factor 65967 and 65978 is 11.

Also check out the Least Common Multiple of 65967 and 65978