What is the Greatest Common Factor of 67053 and 67059?

Greatest common factor (GCF) of 67053 and 67059 is 3.

GCF(67053,67059) = 3

We will now calculate the prime factors of 67053 and 67059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67053 and 67059.

How to find the GCF of 67053 and 67059?

We will first find the prime factorization of 67053 and 67059. After we will calculate the factors of 67053 and 67059 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 67059

Prime factors of 67059 are 3, 7451. Prime factorization of 67059 in exponential form is:

67059 = 3² × 7451¹

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 67059

List of positive integer factors of 67059 that divides 67053 without a remainder.

1, 3, 9, 7451, 22353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67053 and 67059. The biggest common factor number is the GCF number.
So the greatest common factor 67053 and 67059 is 3.

Also check out the Least Common Multiple of 67053 and 67059