What is the Greatest Common Factor of 25069 and 25083?

Greatest common factor (GCF) of 25069 and 25083 is 1.

GCF(25069,25083) = 1

We will now calculate the prime factors of 25069 and 25083, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25069 and 25083.

How to find the GCF of 25069 and 25083?

We will first find the prime factorization of 25069 and 25083. After we will calculate the factors of 25069 and 25083 and find the biggest common factor number .

Step-1: Prime Factorization of 25069

Prime factors of 25069 are 11, 43, 53. Prime factorization of 25069 in exponential form is:

25069 = 11¹ × 43¹ × 53¹

Step-2: Prime Factorization of 25083

Prime factors of 25083 are 3, 929. Prime factorization of 25083 in exponential form is:

25083 = 3³ × 929¹

Step-3: Factors of 25069

List of positive integer factors of 25069 that divides 25069 without a remainder.

1, 11, 43, 53, 473, 583, 2279

Step-4: Factors of 25083

List of positive integer factors of 25083 that divides 25069 without a remainder.

1, 3, 9, 27, 929, 2787, 8361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25069 and 25083. The biggest common factor number is the GCF number.
So the greatest common factor 25069 and 25083 is 1.

Also check out the Least Common Multiple of 25069 and 25083