What is the Greatest Common Factor of 73052 and 73066?

Greatest common factor (GCF) of 73052 and 73066 is 14.

GCF(73052,73066) = 14

We will now calculate the prime factors of 73052 and 73066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73052 and 73066.

How to find the GCF of 73052 and 73066?

We will first find the prime factorization of 73052 and 73066. After we will calculate the factors of 73052 and 73066 and find the biggest common factor number .

Step-1: Prime Factorization of 73052

Prime factors of 73052 are 2, 7, 2609. Prime factorization of 73052 in exponential form is:

73052 = 2² × 7¹ × 2609¹

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 73052

List of positive integer factors of 73052 that divides 73052 without a remainder.

1, 2, 4, 7, 14, 28, 2609, 5218, 10436, 18263, 36526

Step-4: Factors of 73066

List of positive integer factors of 73066 that divides 73052 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 73052 and 73066. The biggest common factor number is the GCF number.
So the greatest common factor 73052 and 73066 is 14.

Also check out the Least Common Multiple of 73052 and 73066