What is the Greatest Common Factor of 73059 and 73066?

Greatest common factor (GCF) of 73059 and 73066 is 7.

GCF(73059,73066) = 7

We will now calculate the prime factors of 73059 and 73066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73059 and 73066.

How to find the GCF of 73059 and 73066?

We will first find the prime factorization of 73059 and 73066. After we will calculate the factors of 73059 and 73066 and find the biggest common factor number .

Step-1: Prime Factorization of 73059

Prime factors of 73059 are 3, 7, 71. Prime factorization of 73059 in exponential form is:

73059 = 3¹ × 7³ × 71¹

Step-2: Prime Factorization of 73066

Prime factors of 73066 are 2, 7, 17, 307. Prime factorization of 73066 in exponential form is:

73066 = 2¹ × 7¹ × 17¹ × 307¹

Step-3: Factors of 73059

List of positive integer factors of 73059 that divides 73059 without a remainder.

1, 3, 7, 21, 49, 71, 147, 213, 343, 497, 1029, 1491, 3479, 10437, 24353

Step-4: Factors of 73066

List of positive integer factors of 73066 that divides 73059 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238, 307, 614, 2149, 4298, 5219, 10438, 36533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73059 and 73066. The biggest common factor number is the GCF number.
So the greatest common factor 73059 and 73066 is 7.

Also check out the Least Common Multiple of 73059 and 73066