What is the Greatest Common Factor of 73479 and 73484?

Greatest common factor (GCF) of 73479 and 73484 is 1.

GCF(73479,73484) = 1

We will now calculate the prime factors of 73479 and 73484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73479 and 73484.

How to find the GCF of 73479 and 73484?

We will first find the prime factorization of 73479 and 73484. After we will calculate the factors of 73479 and 73484 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 73484

Prime factors of 73484 are 2, 18371. Prime factorization of 73484 in exponential form is:

73484 = 2² × 18371¹

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 73484

List of positive integer factors of 73484 that divides 73479 without a remainder.

1, 2, 4, 18371, 36742

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73479 and 73484. The biggest common factor number is the GCF number.
So the greatest common factor 73479 and 73484 is 1.

Also check out the Least Common Multiple of 73479 and 73484