What is the Greatest Common Factor of 25235 and 25246?

Greatest common factor (GCF) of 25235 and 25246 is 1.

GCF(25235,25246) = 1

We will now calculate the prime factors of 25235 and 25246, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25235 and 25246.

How to find the GCF of 25235 and 25246?

We will first find the prime factorization of 25235 and 25246. After we will calculate the factors of 25235 and 25246 and find the biggest common factor number .

Step-1: Prime Factorization of 25235

Prime factors of 25235 are 5, 7, 103. Prime factorization of 25235 in exponential form is:

25235 = 5¹ × 7² × 103¹

Step-2: Prime Factorization of 25246

Prime factors of 25246 are 2, 13, 971. Prime factorization of 25246 in exponential form is:

25246 = 2¹ × 13¹ × 971¹

Step-3: Factors of 25235

List of positive integer factors of 25235 that divides 25235 without a remainder.

1, 5, 7, 35, 49, 103, 245, 515, 721, 3605, 5047

Step-4: Factors of 25246

List of positive integer factors of 25246 that divides 25235 without a remainder.

1, 2, 13, 26, 971, 1942, 12623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25235 and 25246. The biggest common factor number is the GCF number.
So the greatest common factor 25235 and 25246 is 1.

Also check out the Least Common Multiple of 25235 and 25246