What is the Greatest Common Factor of 32984 and 33002?

Greatest common factor (GCF) of 32984 and 33002 is 2.

GCF(32984,33002) = 2

We will now calculate the prime factors of 32984 and 33002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32984 and 33002.

How to find the GCF of 32984 and 33002?

We will first find the prime factorization of 32984 and 33002. After we will calculate the factors of 32984 and 33002 and find the biggest common factor number .

Step-1: Prime Factorization of 32984

Prime factors of 32984 are 2, 7, 19, 31. Prime factorization of 32984 in exponential form is:

32984 = 2³ × 7¹ × 19¹ × 31¹

Step-2: Prime Factorization of 33002

Prime factors of 33002 are 2, 29, 569. Prime factorization of 33002 in exponential form is:

33002 = 2¹ × 29¹ × 569¹

Step-3: Factors of 32984

List of positive integer factors of 32984 that divides 32984 without a remainder.

1, 2, 4, 7, 8, 14, 19, 28, 31, 38, 56, 62, 76, 124, 133, 152, 217, 248, 266, 434, 532, 589, 868, 1064, 1178, 1736, 2356, 4123, 4712, 8246, 16492

Step-4: Factors of 33002

List of positive integer factors of 33002 that divides 32984 without a remainder.

1, 2, 29, 58, 569, 1138, 16501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32984 and 33002. The biggest common factor number is the GCF number.
So the greatest common factor 32984 and 33002 is 2.

Also check out the Least Common Multiple of 32984 and 33002