What is the Greatest Common Factor of 80990 and 81004?

Greatest common factor (GCF) of 80990 and 81004 is 14.

GCF(80990,81004) = 14

We will now calculate the prime factors of 80990 and 81004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80990 and 81004.

How to find the GCF of 80990 and 81004?

We will first find the prime factorization of 80990 and 81004. After we will calculate the factors of 80990 and 81004 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 81004

Prime factors of 81004 are 2, 7, 11, 263. Prime factorization of 81004 in exponential form is:

81004 = 2² × 7¹ × 11¹ × 263¹

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 81004

List of positive integer factors of 81004 that divides 80990 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 263, 308, 526, 1052, 1841, 2893, 3682, 5786, 7364, 11572, 20251, 40502

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80990 and 81004. The biggest common factor number is the GCF number.
So the greatest common factor 80990 and 81004 is 14.

Also check out the Least Common Multiple of 80990 and 81004