What is the Greatest Common Factor of 76503 and 76510?

Greatest common factor (GCF) of 76503 and 76510 is 7.

GCF(76503,76510) = 7

We will now calculate the prime factors of 76503 and 76510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76503 and 76510.

How to find the GCF of 76503 and 76510?

We will first find the prime factorization of 76503 and 76510. After we will calculate the factors of 76503 and 76510 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 76510

Prime factors of 76510 are 2, 5, 7, 1093. Prime factorization of 76510 in exponential form is:

76510 = 2¹ × 5¹ × 7¹ × 1093¹

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 76510

List of positive integer factors of 76510 that divides 76503 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1093, 2186, 5465, 7651, 10930, 15302, 38255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76503 and 76510. The biggest common factor number is the GCF number.
So the greatest common factor 76503 and 76510 is 7.

Also check out the Least Common Multiple of 76503 and 76510