What is the Greatest Common Factor of 25152 and 25166?

Greatest common factor (GCF) of 25152 and 25166 is 2.

GCF(25152,25166) = 2

We will now calculate the prime factors of 25152 and 25166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25152 and 25166.

How to find the GCF of 25152 and 25166?

We will first find the prime factorization of 25152 and 25166. After we will calculate the factors of 25152 and 25166 and find the biggest common factor number .

Step-1: Prime Factorization of 25152

Prime factors of 25152 are 2, 3, 131. Prime factorization of 25152 in exponential form is:

25152 = 2⁶ × 3¹ × 131¹

Step-2: Prime Factorization of 25166

Prime factors of 25166 are 2, 12583. Prime factorization of 25166 in exponential form is:

25166 = 2¹ × 12583¹

Step-3: Factors of 25152

List of positive integer factors of 25152 that divides 25152 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 131, 192, 262, 393, 524, 786, 1048, 1572, 2096, 3144, 4192, 6288, 8384, 12576

Step-4: Factors of 25166

List of positive integer factors of 25166 that divides 25152 without a remainder.

1, 2, 12583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25152 and 25166. The biggest common factor number is the GCF number.
So the greatest common factor 25152 and 25166 is 2.

Also check out the Least Common Multiple of 25152 and 25166