What is the Greatest Common Factor of 76232 and 76245?

Greatest common factor (GCF) of 76232 and 76245 is 13.

GCF(76232,76245) = 13

We will now calculate the prime factors of 76232 and 76245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76232 and 76245.

How to find the GCF of 76232 and 76245?

We will first find the prime factorization of 76232 and 76245. After we will calculate the factors of 76232 and 76245 and find the biggest common factor number .

Step-1: Prime Factorization of 76232

Prime factors of 76232 are 2, 13, 733. Prime factorization of 76232 in exponential form is:

76232 = 2³ × 13¹ × 733¹

Step-2: Prime Factorization of 76245

Prime factors of 76245 are 3, 5, 13, 17, 23. Prime factorization of 76245 in exponential form is:

76245 = 3¹ × 5¹ × 13¹ × 17¹ × 23¹

Step-3: Factors of 76232

List of positive integer factors of 76232 that divides 76232 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 733, 1466, 2932, 5864, 9529, 19058, 38116

Step-4: Factors of 76245

List of positive integer factors of 76245 that divides 76232 without a remainder.

1, 3, 5, 13, 15, 17, 23, 39, 51, 65, 69, 85, 115, 195, 221, 255, 299, 345, 391, 663, 897, 1105, 1173, 1495, 1955, 3315, 4485, 5083, 5865, 15249, 25415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76232 and 76245. The biggest common factor number is the GCF number.
So the greatest common factor 76232 and 76245 is 13.

Also check out the Least Common Multiple of 76232 and 76245