What is the Greatest Common Factor of 62279 and 62296?

Greatest common factor (GCF) of 62279 and 62296 is 1.

GCF(62279,62296) = 1

We will now calculate the prime factors of 62279 and 62296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62279 and 62296.

How to find the GCF of 62279 and 62296?

We will first find the prime factorization of 62279 and 62296. After we will calculate the factors of 62279 and 62296 and find the biggest common factor number .

Step-1: Prime Factorization of 62279

Prime factors of 62279 are 7, 31, 41. Prime factorization of 62279 in exponential form is:

62279 = 7² × 31¹ × 41¹

Step-2: Prime Factorization of 62296

Prime factors of 62296 are 2, 13, 599. Prime factorization of 62296 in exponential form is:

62296 = 2³ × 13¹ × 599¹

Step-3: Factors of 62279

List of positive integer factors of 62279 that divides 62279 without a remainder.

1, 7, 31, 41, 49, 217, 287, 1271, 1519, 2009, 8897

Step-4: Factors of 62296

List of positive integer factors of 62296 that divides 62279 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 599, 1198, 2396, 4792, 7787, 15574, 31148

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62279 and 62296. The biggest common factor number is the GCF number.
So the greatest common factor 62279 and 62296 is 1.

Also check out the Least Common Multiple of 62279 and 62296