What is the Greatest Common Factor of 72691 and 72711?

Greatest common factor (GCF) of 72691 and 72711 is 1.

GCF(72691,72711) = 1

We will now calculate the prime factors of 72691 and 72711, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72691 and 72711.

How to find the GCF of 72691 and 72711?

We will first find the prime factorization of 72691 and 72711. After we will calculate the factors of 72691 and 72711 and find the biggest common factor number .

Step-1: Prime Factorization of 72691

Prime factors of 72691 are 157, 463. Prime factorization of 72691 in exponential form is:

72691 = 157¹ × 463¹

Step-2: Prime Factorization of 72711

Prime factors of 72711 are 3, 2693. Prime factorization of 72711 in exponential form is:

72711 = 3³ × 2693¹

Step-3: Factors of 72691

List of positive integer factors of 72691 that divides 72691 without a remainder.

1, 157, 463

Step-4: Factors of 72711

List of positive integer factors of 72711 that divides 72691 without a remainder.

1, 3, 9, 27, 2693, 8079, 24237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72691 and 72711. The biggest common factor number is the GCF number.
So the greatest common factor 72691 and 72711 is 1.

Also check out the Least Common Multiple of 72691 and 72711