What is the Greatest Common Factor of 73478 and 73486?

Greatest common factor (GCF) of 73478 and 73486 is 2.

GCF(73478,73486) = 2

We will now calculate the prime factors of 73478 and 73486, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73478 and 73486.

How to find the GCF of 73478 and 73486?

We will first find the prime factorization of 73478 and 73486. After we will calculate the factors of 73478 and 73486 and find the biggest common factor number .

Step-1: Prime Factorization of 73478

Prime factors of 73478 are 2, 36739. Prime factorization of 73478 in exponential form is:

73478 = 2¹ × 36739¹

Step-2: 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-3: Factors of 73478

List of positive integer factors of 73478 that divides 73478 without a remainder.

1, 2, 36739

Step-4: Factors of 73486

List of positive integer factors of 73486 that divides 73478 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73478 and 73486. The biggest common factor number is the GCF number.
So the greatest common factor 73478 and 73486 is 2.

Also check out the Least Common Multiple of 73478 and 73486