What is the Greatest Common Factor of 74488 and 74499?

Greatest common factor (GCF) of 74488 and 74499 is 1.

GCF(74488,74499) = 1

We will now calculate the prime factors of 74488 and 74499, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74488 and 74499.

How to find the GCF of 74488 and 74499?

We will first find the prime factorization of 74488 and 74499. After we will calculate the factors of 74488 and 74499 and find the biggest common factor number .

Step-1: Prime Factorization of 74488

Prime factors of 74488 are 2, 9311. Prime factorization of 74488 in exponential form is:

74488 = 2³ × 9311¹

Step-2: Prime Factorization of 74499

Prime factors of 74499 are 3, 19, 1307. Prime factorization of 74499 in exponential form is:

74499 = 3¹ × 19¹ × 1307¹

Step-3: Factors of 74488

List of positive integer factors of 74488 that divides 74488 without a remainder.

1, 2, 4, 8, 9311, 18622, 37244

Step-4: Factors of 74499

List of positive integer factors of 74499 that divides 74488 without a remainder.

1, 3, 19, 57, 1307, 3921, 24833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74488 and 74499. The biggest common factor number is the GCF number.
So the greatest common factor 74488 and 74499 is 1.

Also check out the Least Common Multiple of 74488 and 74499