What is the Greatest Common Factor of 72741 and 72758?

Greatest common factor (GCF) of 72741 and 72758 is 1.

GCF(72741,72758) = 1

We will now calculate the prime factors of 72741 and 72758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72741 and 72758.

How to find the GCF of 72741 and 72758?

We will first find the prime factorization of 72741 and 72758. After we will calculate the factors of 72741 and 72758 and find the biggest common factor number .

Step-1: Prime Factorization of 72741

Prime factors of 72741 are 3, 24247. Prime factorization of 72741 in exponential form is:

72741 = 3¹ × 24247¹

Step-2: Prime Factorization of 72758

Prime factors of 72758 are 2, 7, 5197. Prime factorization of 72758 in exponential form is:

72758 = 2¹ × 7¹ × 5197¹

Step-3: Factors of 72741

List of positive integer factors of 72741 that divides 72741 without a remainder.

1, 3, 24247

Step-4: Factors of 72758

List of positive integer factors of 72758 that divides 72741 without a remainder.

1, 2, 7, 14, 5197, 10394, 36379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72741 and 72758. The biggest common factor number is the GCF number.
So the greatest common factor 72741 and 72758 is 1.

Also check out the Least Common Multiple of 72741 and 72758