What is the Greatest Common Factor of 73488 and 73508?

Greatest common factor (GCF) of 73488 and 73508 is 4.

GCF(73488,73508) = 4

We will now calculate the prime factors of 73488 and 73508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73488 and 73508.

How to find the GCF of 73488 and 73508?

We will first find the prime factorization of 73488 and 73508. After we will calculate the factors of 73488 and 73508 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 73508

Prime factors of 73508 are 2, 17, 23, 47. Prime factorization of 73508 in exponential form is:

73508 = 2² × 17¹ × 23¹ × 47¹

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 73508

List of positive integer factors of 73508 that divides 73488 without a remainder.

1, 2, 4, 17, 23, 34, 46, 47, 68, 92, 94, 188, 391, 782, 799, 1081, 1564, 1598, 2162, 3196, 4324, 18377, 36754

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73488 and 73508. The biggest common factor number is the GCF number.
So the greatest common factor 73488 and 73508 is 4.

Also check out the Least Common Multiple of 73488 and 73508