What is the Greatest Common Factor of 25315 and 25322?

Greatest common factor (GCF) of 25315 and 25322 is 1.

GCF(25315,25322) = 1

We will now calculate the prime factors of 25315 and 25322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25315 and 25322.

How to find the GCF of 25315 and 25322?

We will first find the prime factorization of 25315 and 25322. After we will calculate the factors of 25315 and 25322 and find the biggest common factor number .

Step-1: Prime Factorization of 25315

Prime factors of 25315 are 5, 61, 83. Prime factorization of 25315 in exponential form is:

25315 = 5¹ × 61¹ × 83¹

Step-2: Prime Factorization of 25322

Prime factors of 25322 are 2, 11, 1151. Prime factorization of 25322 in exponential form is:

25322 = 2¹ × 11¹ × 1151¹

Step-3: Factors of 25315

List of positive integer factors of 25315 that divides 25315 without a remainder.

1, 5, 61, 83, 305, 415, 5063

Step-4: Factors of 25322

List of positive integer factors of 25322 that divides 25315 without a remainder.

1, 2, 11, 22, 1151, 2302, 12661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25315 and 25322. The biggest common factor number is the GCF number.
So the greatest common factor 25315 and 25322 is 1.

Also check out the Least Common Multiple of 25315 and 25322