What is the Greatest Common Factor of 76490 and 76510?

Greatest common factor (GCF) of 76490 and 76510 is 10.

GCF(76490,76510) = 10

We will now calculate the prime factors of 76490 and 76510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76490 and 76510.

How to find the GCF of 76490 and 76510?

We will first find the prime factorization of 76490 and 76510. After we will calculate the factors of 76490 and 76510 and find the biggest common factor number .

Step-1: Prime Factorization of 76490

Prime factors of 76490 are 2, 5, 7649. Prime factorization of 76490 in exponential form is:

76490 = 2¹ × 5¹ × 7649¹

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 76490

List of positive integer factors of 76490 that divides 76490 without a remainder.

1, 2, 5, 10, 7649, 15298, 38245

Step-4: Factors of 76510

List of positive integer factors of 76510 that divides 76490 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 76490 and 76510. The biggest common factor number is the GCF number.
So the greatest common factor 76490 and 76510 is 10.

Also check out the Least Common Multiple of 76490 and 76510