What is the Greatest Common Factor of 67011 and 67020?

Greatest common factor (GCF) of 67011 and 67020 is 3.

GCF(67011,67020) = 3

We will now calculate the prime factors of 67011 and 67020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67011 and 67020.

How to find the GCF of 67011 and 67020?

We will first find the prime factorization of 67011 and 67020. After we will calculate the factors of 67011 and 67020 and find the biggest common factor number .

Step-1: Prime Factorization of 67011

Prime factors of 67011 are 3, 7, 3191. Prime factorization of 67011 in exponential form is:

67011 = 3¹ × 7¹ × 3191¹

Step-2: Prime Factorization of 67020

Prime factors of 67020 are 2, 3, 5, 1117. Prime factorization of 67020 in exponential form is:

67020 = 2² × 3¹ × 5¹ × 1117¹

Step-3: Factors of 67011

List of positive integer factors of 67011 that divides 67011 without a remainder.

1, 3, 7, 21, 3191, 9573, 22337

Step-4: Factors of 67020

List of positive integer factors of 67020 that divides 67011 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1117, 2234, 3351, 4468, 5585, 6702, 11170, 13404, 16755, 22340, 33510

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67011 and 67020. The biggest common factor number is the GCF number.
So the greatest common factor 67011 and 67020 is 3.

Also check out the Least Common Multiple of 67011 and 67020