What is the Greatest Common Factor of 73048 and 73062?

Greatest common factor (GCF) of 73048 and 73062 is 2.

GCF(73048,73062) = 2

We will now calculate the prime factors of 73048 and 73062, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73048 and 73062.

How to find the GCF of 73048 and 73062?

We will first find the prime factorization of 73048 and 73062. After we will calculate the factors of 73048 and 73062 and find the biggest common factor number .

Step-1: Prime Factorization of 73048

Prime factors of 73048 are 2, 23, 397. Prime factorization of 73048 in exponential form is:

73048 = 2³ × 23¹ × 397¹

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 73048

List of positive integer factors of 73048 that divides 73048 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184, 397, 794, 1588, 3176, 9131, 18262, 36524

Step-4: Factors of 73062

List of positive integer factors of 73062 that divides 73048 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 73048 and 73062. The biggest common factor number is the GCF number.
So the greatest common factor 73048 and 73062 is 2.

Also check out the Least Common Multiple of 73048 and 73062