What is the Greatest Common Factor of 25235 and 25242?

Greatest common factor (GCF) of 25235 and 25242 is 7.

GCF(25235,25242) = 7

We will now calculate the prime factors of 25235 and 25242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25235 and 25242.

How to find the GCF of 25235 and 25242?

We will first find the prime factorization of 25235 and 25242. After we will calculate the factors of 25235 and 25242 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 25242

Prime factors of 25242 are 2, 3, 7, 601. Prime factorization of 25242 in exponential form is:

25242 = 2¹ × 3¹ × 7¹ × 601¹

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 25242

List of positive integer factors of 25242 that divides 25235 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 601, 1202, 1803, 3606, 4207, 8414, 12621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25235 and 25242. The biggest common factor number is the GCF number.
So the greatest common factor 25235 and 25242 is 7.

Also check out the Least Common Multiple of 25235 and 25242