What is the Greatest Common Factor of 73491 and 73502?

Greatest common factor (GCF) of 73491 and 73502 is 11.

GCF(73491,73502) = 11

We will now calculate the prime factors of 73491 and 73502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73491 and 73502.

How to find the GCF of 73491 and 73502?

We will first find the prime factorization of 73491 and 73502. After we will calculate the factors of 73491 and 73502 and find the biggest common factor number .

Step-1: Prime Factorization of 73491

Prime factors of 73491 are 3, 11, 17, 131. Prime factorization of 73491 in exponential form is:

73491 = 3¹ × 11¹ × 17¹ × 131¹

Step-2: Prime Factorization of 73502

Prime factors of 73502 are 2, 11, 13, 257. Prime factorization of 73502 in exponential form is:

73502 = 2¹ × 11¹ × 13¹ × 257¹

Step-3: Factors of 73491

List of positive integer factors of 73491 that divides 73491 without a remainder.

1, 3, 11, 17, 33, 51, 131, 187, 393, 561, 1441, 2227, 4323, 6681, 24497

Step-4: Factors of 73502

List of positive integer factors of 73502 that divides 73491 without a remainder.

1, 2, 11, 13, 22, 26, 143, 257, 286, 514, 2827, 3341, 5654, 6682, 36751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73491 and 73502. The biggest common factor number is the GCF number.
So the greatest common factor 73491 and 73502 is 11.

Also check out the Least Common Multiple of 73491 and 73502