What is the Greatest Common Factor of 67035 and 67053?

Greatest common factor (GCF) of 67035 and 67053 is 3.

GCF(67035,67053) = 3

We will now calculate the prime factors of 67035 and 67053, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67035 and 67053.

How to find the GCF of 67035 and 67053?

We will first find the prime factorization of 67035 and 67053. After we will calculate the factors of 67035 and 67053 and find the biggest common factor number .

Step-1: Prime Factorization of 67035

Prime factors of 67035 are 3, 5, 41, 109. Prime factorization of 67035 in exponential form is:

67035 = 3¹ × 5¹ × 41¹ × 109¹

Step-2: 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-3: Factors of 67035

List of positive integer factors of 67035 that divides 67035 without a remainder.

1, 3, 5, 15, 41, 109, 123, 205, 327, 545, 615, 1635, 4469, 13407, 22345

Step-4: Factors of 67053

List of positive integer factors of 67053 that divides 67035 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67035 and 67053. The biggest common factor number is the GCF number.
So the greatest common factor 67035 and 67053 is 3.

Also check out the Least Common Multiple of 67035 and 67053