What is the Greatest Common Factor of 80974 and 80990?

Greatest common factor (GCF) of 80974 and 80990 is 2.

GCF(80974,80990) = 2

We will now calculate the prime factors of 80974 and 80990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80974 and 80990.

How to find the GCF of 80974 and 80990?

We will first find the prime factorization of 80974 and 80990. After we will calculate the factors of 80974 and 80990 and find the biggest common factor number .

Step-1: Prime Factorization of 80974

Prime factors of 80974 are 2, 40487. Prime factorization of 80974 in exponential form is:

80974 = 2¹ × 40487¹

Step-2: 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-3: Factors of 80974

List of positive integer factors of 80974 that divides 80974 without a remainder.

1, 2, 40487

Step-4: Factors of 80990

List of positive integer factors of 80990 that divides 80974 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80974 and 80990. The biggest common factor number is the GCF number.
So the greatest common factor 80974 and 80990 is 2.

Also check out the Least Common Multiple of 80974 and 80990