What is the Greatest Common Factor of 62713 and 62723?

Greatest common factor (GCF) of 62713 and 62723 is 1.

GCF(62713,62723) = 1

We will now calculate the prime factors of 62713 and 62723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62713 and 62723.

How to find the GCF of 62713 and 62723?

We will first find the prime factorization of 62713 and 62723. After we will calculate the factors of 62713 and 62723 and find the biggest common factor number .

Step-1: Prime Factorization of 62713

Prime factors of 62713 are 7, 17, 31. Prime factorization of 62713 in exponential form is:

62713 = 7¹ × 17² × 31¹

Step-2: Prime Factorization of 62723

Prime factors of 62723 are 62723. Prime factorization of 62723 in exponential form is:

62723 = 62723¹

Step-3: Factors of 62713

List of positive integer factors of 62713 that divides 62713 without a remainder.

1, 7, 17, 31, 119, 217, 289, 527, 2023, 3689, 8959

Step-4: Factors of 62723

List of positive integer factors of 62723 that divides 62713 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62713 and 62723. The biggest common factor number is the GCF number.
So the greatest common factor 62713 and 62723 is 1.

Also check out the Least Common Multiple of 62713 and 62723