What is the Greatest Common Factor of 73488 and 73502?

Greatest common factor (GCF) of 73488 and 73502 is 2.

GCF(73488,73502) = 2

We will now calculate the prime factors of 73488 and 73502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73488 and 73502.

How to find the GCF of 73488 and 73502?

We will first find the prime factorization of 73488 and 73502. After we will calculate the factors of 73488 and 73502 and find the biggest common factor number .

Step-1: Prime Factorization of 73488

Prime factors of 73488 are 2, 3, 1531. Prime factorization of 73488 in exponential form is:

73488 = 2⁴ × 3¹ × 1531¹

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 73488

List of positive integer factors of 73488 that divides 73488 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1531, 3062, 4593, 6124, 9186, 12248, 18372, 24496, 36744

Step-4: Factors of 73502

List of positive integer factors of 73502 that divides 73488 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 73488 and 73502. The biggest common factor number is the GCF number.
So the greatest common factor 73488 and 73502 is 2.

Also check out the Least Common Multiple of 73488 and 73502