What is the Greatest Common Factor of 76362 and 76375?

Greatest common factor (GCF) of 76362 and 76375 is 13.

GCF(76362,76375) = 13

We will now calculate the prime factors of 76362 and 76375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76362 and 76375.

How to find the GCF of 76362 and 76375?

We will first find the prime factorization of 76362 and 76375. After we will calculate the factors of 76362 and 76375 and find the biggest common factor number .

Step-1: Prime Factorization of 76362

Prime factors of 76362 are 2, 3, 11, 13, 89. Prime factorization of 76362 in exponential form is:

76362 = 2¹ × 3¹ × 11¹ × 13¹ × 89¹

Step-2: Prime Factorization of 76375

Prime factors of 76375 are 5, 13, 47. Prime factorization of 76375 in exponential form is:

76375 = 5³ × 13¹ × 47¹

Step-3: Factors of 76362

List of positive integer factors of 76362 that divides 76362 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 89, 143, 178, 267, 286, 429, 534, 858, 979, 1157, 1958, 2314, 2937, 3471, 5874, 6942, 12727, 25454, 38181

Step-4: Factors of 76375

List of positive integer factors of 76375 that divides 76362 without a remainder.

1, 5, 13, 25, 47, 65, 125, 235, 325, 611, 1175, 1625, 3055, 5875, 15275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76362 and 76375. The biggest common factor number is the GCF number.
So the greatest common factor 76362 and 76375 is 13.

Also check out the Least Common Multiple of 76362 and 76375