What is the Greatest Common Factor of 80990 and 81010?

Greatest common factor (GCF) of 80990 and 81010 is 10.

GCF(80990,81010) = 10

We will now calculate the prime factors of 80990 and 81010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80990 and 81010.

How to find the GCF of 80990 and 81010?

We will first find the prime factorization of 80990 and 81010. After we will calculate the factors of 80990 and 81010 and find the biggest common factor number .

Step-1: Prime Factorization of 80990

Prime factors of 80990 are 2, 5, 7, 13, 89. Prime factorization of 80990 in exponential form is:

80990 = 2¹ × 5¹ × 7¹ × 13¹ × 89¹

Step-2: Prime Factorization of 81010

Prime factors of 81010 are 2, 5, 8101. Prime factorization of 81010 in exponential form is:

81010 = 2¹ × 5¹ × 8101¹

Step-3: Factors of 80990

List of positive integer factors of 80990 that divides 80990 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 89, 91, 130, 178, 182, 445, 455, 623, 890, 910, 1157, 1246, 2314, 3115, 5785, 6230, 8099, 11570, 16198, 40495

Step-4: Factors of 81010

List of positive integer factors of 81010 that divides 80990 without a remainder.

1, 2, 5, 10, 8101, 16202, 40505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80990 and 81010. The biggest common factor number is the GCF number.
So the greatest common factor 80990 and 81010 is 10.

Also check out the Least Common Multiple of 80990 and 81010