What is the Greatest Common Factor of 32967 and 32987?

Greatest common factor (GCF) of 32967 and 32987 is 1.

GCF(32967,32987) = 1

We will now calculate the prime factors of 32967 and 32987, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32967 and 32987.

How to find the GCF of 32967 and 32987?

We will first find the prime factorization of 32967 and 32987. After we will calculate the factors of 32967 and 32987 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 32987

Prime factors of 32987 are 32987. Prime factorization of 32987 in exponential form is:

32987 = 32987¹

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 32987

List of positive integer factors of 32987 that divides 32967 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32967 and 32987. The biggest common factor number is the GCF number.
So the greatest common factor 32967 and 32987 is 1.

Also check out the Least Common Multiple of 32967 and 32987