What is the Greatest Common Factor of 76503 and 76517?

Greatest common factor (GCF) of 76503 and 76517 is 7.

GCF(76503,76517) = 7

We will now calculate the prime factors of 76503 and 76517, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76503 and 76517.

How to find the GCF of 76503 and 76517?

We will first find the prime factorization of 76503 and 76517. After we will calculate the factors of 76503 and 76517 and find the biggest common factor number .

Step-1: Prime Factorization of 76503

Prime factors of 76503 are 3, 7, 3643. Prime factorization of 76503 in exponential form is:

76503 = 3¹ × 7¹ × 3643¹

Step-2: Prime Factorization of 76517

Prime factors of 76517 are 7, 17, 643. Prime factorization of 76517 in exponential form is:

76517 = 7¹ × 17¹ × 643¹

Step-3: Factors of 76503

List of positive integer factors of 76503 that divides 76503 without a remainder.

1, 3, 7, 21, 3643, 10929, 25501

Step-4: Factors of 76517

List of positive integer factors of 76517 that divides 76503 without a remainder.

1, 7, 17, 119, 643, 4501, 10931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76503 and 76517. The biggest common factor number is the GCF number.
So the greatest common factor 76503 and 76517 is 7.

Also check out the Least Common Multiple of 76503 and 76517