What is the Greatest Common Factor of 25347 and 25361?

Greatest common factor (GCF) of 25347 and 25361 is 7.

GCF(25347,25361) = 7

We will now calculate the prime factors of 25347 and 25361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25347 and 25361.

How to find the GCF of 25347 and 25361?

We will first find the prime factorization of 25347 and 25361. After we will calculate the factors of 25347 and 25361 and find the biggest common factor number .

Step-1: Prime Factorization of 25347

Prime factors of 25347 are 3, 7, 17, 71. Prime factorization of 25347 in exponential form is:

25347 = 3¹ × 7¹ × 17¹ × 71¹

Step-2: Prime Factorization of 25361

Prime factors of 25361 are 7, 3623. Prime factorization of 25361 in exponential form is:

25361 = 7¹ × 3623¹

Step-3: Factors of 25347

List of positive integer factors of 25347 that divides 25347 without a remainder.

1, 3, 7, 17, 21, 51, 71, 119, 213, 357, 497, 1207, 1491, 3621, 8449

Step-4: Factors of 25361

List of positive integer factors of 25361 that divides 25347 without a remainder.

1, 7, 3623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25347 and 25361. The biggest common factor number is the GCF number.
So the greatest common factor 25347 and 25361 is 7.

Also check out the Least Common Multiple of 25347 and 25361