What is the Greatest Common Factor of 73486 and 73504?

Greatest common factor (GCF) of 73486 and 73504 is 2.

GCF(73486,73504) = 2

We will now calculate the prime factors of 73486 and 73504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73486 and 73504.

How to find the GCF of 73486 and 73504?

We will first find the prime factorization of 73486 and 73504. After we will calculate the factors of 73486 and 73504 and find the biggest common factor number .

Step-1: Prime Factorization of 73486

Prime factors of 73486 are 2, 7, 29, 181. Prime factorization of 73486 in exponential form is:

73486 = 2¹ × 7¹ × 29¹ × 181¹

Step-2: Prime Factorization of 73504

Prime factors of 73504 are 2, 2297. Prime factorization of 73504 in exponential form is:

73504 = 2⁵ × 2297¹

Step-3: Factors of 73486

List of positive integer factors of 73486 that divides 73486 without a remainder.

1, 2, 7, 14, 29, 58, 181, 203, 362, 406, 1267, 2534, 5249, 10498, 36743

Step-4: Factors of 73504

List of positive integer factors of 73504 that divides 73486 without a remainder.

1, 2, 4, 8, 16, 32, 2297, 4594, 9188, 18376, 36752

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73486 and 73504. The biggest common factor number is the GCF number.
So the greatest common factor 73486 and 73504 is 2.

Also check out the Least Common Multiple of 73486 and 73504