What is the Greatest Common Factor of 62714 and 62721?

Greatest common factor (GCF) of 62714 and 62721 is 1.

GCF(62714,62721) = 1

We will now calculate the prime factors of 62714 and 62721, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62714 and 62721.

How to find the GCF of 62714 and 62721?

We will first find the prime factorization of 62714 and 62721. After we will calculate the factors of 62714 and 62721 and find the biggest common factor number .

Step-1: Prime Factorization of 62714

Prime factors of 62714 are 2, 31357. Prime factorization of 62714 in exponential form is:

62714 = 2¹ × 31357¹

Step-2: Prime Factorization of 62721

Prime factors of 62721 are 3, 23, 101. Prime factorization of 62721 in exponential form is:

62721 = 3³ × 23¹ × 101¹

Step-3: Factors of 62714

List of positive integer factors of 62714 that divides 62714 without a remainder.

1, 2, 31357

Step-4: Factors of 62721

List of positive integer factors of 62721 that divides 62714 without a remainder.

1, 3, 9, 23, 27, 69, 101, 207, 303, 621, 909, 2323, 2727, 6969, 20907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62714 and 62721. The biggest common factor number is the GCF number.
So the greatest common factor 62714 and 62721 is 1.

Also check out the Least Common Multiple of 62714 and 62721