What is the Greatest Common Factor of 62721 and 62735?

Greatest common factor (GCF) of 62721 and 62735 is 1.

GCF(62721,62735) = 1

We will now calculate the prime factors of 62721 and 62735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62721 and 62735.

How to find the GCF of 62721 and 62735?

We will first find the prime factorization of 62721 and 62735. After we will calculate the factors of 62721 and 62735 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 62735

Prime factors of 62735 are 5, 12547. Prime factorization of 62735 in exponential form is:

62735 = 5¹ × 12547¹

Step-3: Factors of 62721

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

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

Step-4: Factors of 62735

List of positive integer factors of 62735 that divides 62721 without a remainder.

1, 5, 12547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62721 and 62735. The biggest common factor number is the GCF number.
So the greatest common factor 62721 and 62735 is 1.

Also check out the Least Common Multiple of 62721 and 62735