What is the Greatest Common Factor of 73053 and 73062?

Greatest common factor (GCF) of 73053 and 73062 is 9.

GCF(73053,73062) = 9

We will now calculate the prime factors of 73053 and 73062, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73053 and 73062.

How to find the GCF of 73053 and 73062?

We will first find the prime factorization of 73053 and 73062. After we will calculate the factors of 73053 and 73062 and find the biggest common factor number .

Step-1: Prime Factorization of 73053

Prime factors of 73053 are 3, 8117. Prime factorization of 73053 in exponential form is:

73053 = 3² × 8117¹

Step-2: Prime Factorization of 73062

Prime factors of 73062 are 2, 3, 11, 41. Prime factorization of 73062 in exponential form is:

73062 = 2¹ × 3⁴ × 11¹ × 41¹

Step-3: Factors of 73053

List of positive integer factors of 73053 that divides 73053 without a remainder.

1, 3, 9, 8117, 24351

Step-4: Factors of 73062

List of positive integer factors of 73062 that divides 73053 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 41, 54, 66, 81, 82, 99, 123, 162, 198, 246, 297, 369, 451, 594, 738, 891, 902, 1107, 1353, 1782, 2214, 2706, 3321, 4059, 6642, 8118, 12177, 24354, 36531

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73053 and 73062. The biggest common factor number is the GCF number.
So the greatest common factor 73053 and 73062 is 9.

Also check out the Least Common Multiple of 73053 and 73062