What is the Greatest Common Factor of 32967 and 32978?

Greatest common factor (GCF) of 32967 and 32978 is 11.

GCF(32967,32978) = 11

We will now calculate the prime factors of 32967 and 32978, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32967 and 32978.

How to find the GCF of 32967 and 32978?

We will first find the prime factorization of 32967 and 32978. After we will calculate the factors of 32967 and 32978 and find the biggest common factor number .

Step-1: Prime Factorization of 32967

Prime factors of 32967 are 3, 11, 37. Prime factorization of 32967 in exponential form is:

32967 = 3⁴ × 11¹ × 37¹

Step-2: Prime Factorization of 32978

Prime factors of 32978 are 2, 11, 1499. Prime factorization of 32978 in exponential form is:

32978 = 2¹ × 11¹ × 1499¹

Step-3: Factors of 32967

List of positive integer factors of 32967 that divides 32967 without a remainder.

1, 3, 9, 11, 27, 33, 37, 81, 99, 111, 297, 333, 407, 891, 999, 1221, 2997, 3663, 10989

Step-4: Factors of 32978

List of positive integer factors of 32978 that divides 32967 without a remainder.

1, 2, 11, 22, 1499, 2998, 16489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32967 and 32978. The biggest common factor number is the GCF number.
So the greatest common factor 32967 and 32978 is 11.

Also check out the Least Common Multiple of 32967 and 32978