What is the Greatest Common Factor of 62909 and 62913?

Greatest common factor (GCF) of 62909 and 62913 is 1.

GCF(62909,62913) = 1

We will now calculate the prime factors of 62909 and 62913, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62909 and 62913.

How to find the GCF of 62909 and 62913?

We will first find the prime factorization of 62909 and 62913. After we will calculate the factors of 62909 and 62913 and find the biggest common factor number .

Step-1: Prime Factorization of 62909

Prime factors of 62909 are 7, 11, 19, 43. Prime factorization of 62909 in exponential form is:

62909 = 7¹ × 11¹ × 19¹ × 43¹

Step-2: Prime Factorization of 62913

Prime factors of 62913 are 3, 67, 313. Prime factorization of 62913 in exponential form is:

62913 = 3¹ × 67¹ × 313¹

Step-3: Factors of 62909

List of positive integer factors of 62909 that divides 62909 without a remainder.

1, 7, 11, 19, 43, 77, 133, 209, 301, 473, 817, 1463, 3311, 5719, 8987

Step-4: Factors of 62913

List of positive integer factors of 62913 that divides 62909 without a remainder.

1, 3, 67, 201, 313, 939, 20971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62909 and 62913. The biggest common factor number is the GCF number.
So the greatest common factor 62909 and 62913 is 1.

Also check out the Least Common Multiple of 62909 and 62913