What is the Greatest Common Factor of 73479 and 73488?

Greatest common factor (GCF) of 73479 and 73488 is 3.

GCF(73479,73488) = 3

We will now calculate the prime factors of 73479 and 73488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73479 and 73488.

How to find the GCF of 73479 and 73488?

We will first find the prime factorization of 73479 and 73488. After we will calculate the factors of 73479 and 73488 and find the biggest common factor number .

Step-1: Prime Factorization of 73479

Prime factors of 73479 are 3, 7, 3499. Prime factorization of 73479 in exponential form is:

73479 = 3¹ × 7¹ × 3499¹

Step-2: 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-3: Factors of 73479

List of positive integer factors of 73479 that divides 73479 without a remainder.

1, 3, 7, 21, 3499, 10497, 24493

Step-4: Factors of 73488

List of positive integer factors of 73488 that divides 73479 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73479 and 73488. The biggest common factor number is the GCF number.
So the greatest common factor 73479 and 73488 is 3.

Also check out the Least Common Multiple of 73479 and 73488