What is the Greatest Common Factor of 80975 and 80990?

Greatest common factor (GCF) of 80975 and 80990 is 5.

GCF(80975,80990) = 5

We will now calculate the prime factors of 80975 and 80990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80975 and 80990.

How to find the GCF of 80975 and 80990?

We will first find the prime factorization of 80975 and 80990. After we will calculate the factors of 80975 and 80990 and find the biggest common factor number .

Step-1: Prime Factorization of 80975

Prime factors of 80975 are 5, 41, 79. Prime factorization of 80975 in exponential form is:

80975 = 5² × 41¹ × 79¹

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 80975

List of positive integer factors of 80975 that divides 80975 without a remainder.

1, 5, 25, 41, 79, 205, 395, 1025, 1975, 3239, 16195

Step-4: Factors of 80990

List of positive integer factors of 80990 that divides 80975 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 80975 and 80990. The biggest common factor number is the GCF number.
So the greatest common factor 80975 and 80990 is 5.

Also check out the Least Common Multiple of 80975 and 80990