What is the Greatest Common Factor of 75990 and 76010?

Greatest common factor (GCF) of 75990 and 76010 is 10.

GCF(75990,76010) = 10

We will now calculate the prime factors of 75990 and 76010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75990 and 76010.

How to find the GCF of 75990 and 76010?

We will first find the prime factorization of 75990 and 76010. After we will calculate the factors of 75990 and 76010 and find the biggest common factor number .

Step-1: Prime Factorization of 75990

Prime factors of 75990 are 2, 3, 5, 17, 149. Prime factorization of 75990 in exponential form is:

75990 = 2¹ × 3¹ × 5¹ × 17¹ × 149¹

Step-2: Prime Factorization of 76010

Prime factors of 76010 are 2, 5, 11, 691. Prime factorization of 76010 in exponential form is:

76010 = 2¹ × 5¹ × 11¹ × 691¹

Step-3: Factors of 75990

List of positive integer factors of 75990 that divides 75990 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 149, 170, 255, 298, 447, 510, 745, 894, 1490, 2235, 2533, 4470, 5066, 7599, 12665, 15198, 25330, 37995

Step-4: Factors of 76010

List of positive integer factors of 76010 that divides 75990 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 691, 1382, 3455, 6910, 7601, 15202, 38005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75990 and 76010. The biggest common factor number is the GCF number.
So the greatest common factor 75990 and 76010 is 10.

Also check out the Least Common Multiple of 75990 and 76010