What is the Greatest Common Factor of 67053 and 67071?

Greatest common factor (GCF) of 67053 and 67071 is 3.

GCF(67053,67071) = 3

We will now calculate the prime factors of 67053 and 67071, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67053 and 67071.

How to find the GCF of 67053 and 67071?

We will first find the prime factorization of 67053 and 67071. After we will calculate the factors of 67053 and 67071 and find the biggest common factor number .

Step-1: Prime Factorization of 67053

Prime factors of 67053 are 3, 7, 31, 103. Prime factorization of 67053 in exponential form is:

67053 = 3¹ × 7¹ × 31¹ × 103¹

Step-2: Prime Factorization of 67071

Prime factors of 67071 are 3, 79, 283. Prime factorization of 67071 in exponential form is:

67071 = 3¹ × 79¹ × 283¹

Step-3: Factors of 67053

List of positive integer factors of 67053 that divides 67053 without a remainder.

1, 3, 7, 21, 31, 93, 103, 217, 309, 651, 721, 2163, 3193, 9579, 22351

Step-4: Factors of 67071

List of positive integer factors of 67071 that divides 67053 without a remainder.

1, 3, 79, 237, 283, 849, 22357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67053 and 67071. The biggest common factor number is the GCF number.
So the greatest common factor 67053 and 67071 is 3.

Also check out the Least Common Multiple of 67053 and 67071