What is the Greatest Common Factor of 33985 and 34002?

Greatest common factor (GCF) of 33985 and 34002 is 1.

GCF(33985,34002) = 1

We will now calculate the prime factors of 33985 and 34002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33985 and 34002.

How to find the GCF of 33985 and 34002?

We will first find the prime factorization of 33985 and 34002. After we will calculate the factors of 33985 and 34002 and find the biggest common factor number .

Step-1: Prime Factorization of 33985

Prime factors of 33985 are 5, 7, 971. Prime factorization of 33985 in exponential form is:

33985 = 5¹ × 7¹ × 971¹

Step-2: Prime Factorization of 34002

Prime factors of 34002 are 2, 3, 1889. Prime factorization of 34002 in exponential form is:

34002 = 2¹ × 3² × 1889¹

Step-3: Factors of 33985

List of positive integer factors of 33985 that divides 33985 without a remainder.

1, 5, 7, 35, 971, 4855, 6797

Step-4: Factors of 34002

List of positive integer factors of 34002 that divides 33985 without a remainder.

1, 2, 3, 6, 9, 18, 1889, 3778, 5667, 11334, 17001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33985 and 34002. The biggest common factor number is the GCF number.
So the greatest common factor 33985 and 34002 is 1.

Also check out the Least Common Multiple of 33985 and 34002