What is the Greatest Common Factor of 76245 and 76263?

Greatest common factor (GCF) of 76245 and 76263 is 3.

GCF(76245,76263) = 3

We will now calculate the prime factors of 76245 and 76263, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76245 and 76263.

How to find the GCF of 76245 and 76263?

We will first find the prime factorization of 76245 and 76263. After we will calculate the factors of 76245 and 76263 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76263

Prime factors of 76263 are 3, 11, 2311. Prime factorization of 76263 in exponential form is:

76263 = 3¹ × 11¹ × 2311¹

Step-3: Factors of 76245

List of positive integer factors of 76245 that divides 76245 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

Step-4: Factors of 76263

List of positive integer factors of 76263 that divides 76245 without a remainder.

1, 3, 11, 33, 2311, 6933, 25421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76245 and 76263. The biggest common factor number is the GCF number.
So the greatest common factor 76245 and 76263 is 3.

Also check out the Least Common Multiple of 76245 and 76263