What is the Greatest Common Factor of 73489 and 73494?

Greatest common factor (GCF) of 73489 and 73494 is 1.

GCF(73489,73494) = 1

We will now calculate the prime factors of 73489 and 73494, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73489 and 73494.

How to find the GCF of 73489 and 73494?

We will first find the prime factorization of 73489 and 73494. After we will calculate the factors of 73489 and 73494 and find the biggest common factor number .

Step-1: Prime Factorization of 73489

Prime factors of 73489 are 13, 5653. Prime factorization of 73489 in exponential form is:

73489 = 13¹ × 5653¹

Step-2: Prime Factorization of 73494

Prime factors of 73494 are 2, 3, 1361. Prime factorization of 73494 in exponential form is:

73494 = 2¹ × 3³ × 1361¹

Step-3: Factors of 73489

List of positive integer factors of 73489 that divides 73489 without a remainder.

1, 13, 5653

Step-4: Factors of 73494

List of positive integer factors of 73494 that divides 73489 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1361, 2722, 4083, 8166, 12249, 24498, 36747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73489 and 73494. The biggest common factor number is the GCF number.
So the greatest common factor 73489 and 73494 is 1.

Also check out the Least Common Multiple of 73489 and 73494