What is the Greatest Common Factor of 25232 and 25251?

Greatest common factor (GCF) of 25232 and 25251 is 19.

GCF(25232,25251) = 19

We will now calculate the prime factors of 25232 and 25251, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25232 and 25251.

How to find the GCF of 25232 and 25251?

We will first find the prime factorization of 25232 and 25251. After we will calculate the factors of 25232 and 25251 and find the biggest common factor number .

Step-1: Prime Factorization of 25232

Prime factors of 25232 are 2, 19, 83. Prime factorization of 25232 in exponential form is:

25232 = 2⁴ × 19¹ × 83¹

Step-2: Prime Factorization of 25251

Prime factors of 25251 are 3, 19, 443. Prime factorization of 25251 in exponential form is:

25251 = 3¹ × 19¹ × 443¹

Step-3: Factors of 25232

List of positive integer factors of 25232 that divides 25232 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 83, 152, 166, 304, 332, 664, 1328, 1577, 3154, 6308, 12616

Step-4: Factors of 25251

List of positive integer factors of 25251 that divides 25232 without a remainder.

1, 3, 19, 57, 443, 1329, 8417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25232 and 25251. The biggest common factor number is the GCF number.
So the greatest common factor 25232 and 25251 is 19.

Also check out the Least Common Multiple of 25232 and 25251