What is the Greatest Common Factor of 67053 and 67067?

Greatest common factor (GCF) of 67053 and 67067 is 7.

GCF(67053,67067) = 7

We will now calculate the prime factors of 67053 and 67067, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67053 and 67067.

How to find the GCF of 67053 and 67067?

We will first find the prime factorization of 67053 and 67067. After we will calculate the factors of 67053 and 67067 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 67067

Prime factors of 67067 are 7, 11, 13, 67. Prime factorization of 67067 in exponential form is:

67067 = 7¹ × 11¹ × 13¹ × 67¹

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 67067

List of positive integer factors of 67067 that divides 67053 without a remainder.

1, 7, 11, 13, 67, 77, 91, 143, 469, 737, 871, 1001, 5159, 6097, 9581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67053 and 67067. The biggest common factor number is the GCF number.
So the greatest common factor 67053 and 67067 is 7.

Also check out the Least Common Multiple of 67053 and 67067