What is the Greatest Common Factor of 76245 and 76262?

Greatest common factor (GCF) of 76245 and 76262 is 17.

GCF(76245,76262) = 17

We will now calculate the prime factors of 76245 and 76262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76245 and 76262.

How to find the GCF of 76245 and 76262?

We will first find the prime factorization of 76245 and 76262. After we will calculate the factors of 76245 and 76262 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 76262

Prime factors of 76262 are 2, 17, 2243. Prime factorization of 76262 in exponential form is:

76262 = 2¹ × 17¹ × 2243¹

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 76262

List of positive integer factors of 76262 that divides 76245 without a remainder.

1, 2, 17, 34, 2243, 4486, 38131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76245 and 76262. The biggest common factor number is the GCF number.
So the greatest common factor 76245 and 76262 is 17.

Also check out the Least Common Multiple of 76245 and 76262