What is the Greatest Common Factor of 80106 and 80121?

Greatest common factor (GCF) of 80106 and 80121 is 3.

GCF(80106,80121) = 3

We will now calculate the prime factors of 80106 and 80121, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80106 and 80121.

How to find the GCF of 80106 and 80121?

We will first find the prime factorization of 80106 and 80121. After we will calculate the factors of 80106 and 80121 and find the biggest common factor number .

Step-1: Prime Factorization of 80106

Prime factors of 80106 are 2, 3, 13, 79. Prime factorization of 80106 in exponential form is:

80106 = 2¹ × 3¹ × 13² × 79¹

Step-2: Prime Factorization of 80121

Prime factors of 80121 are 3, 17, 1571. Prime factorization of 80121 in exponential form is:

80121 = 3¹ × 17¹ × 1571¹

Step-3: Factors of 80106

List of positive integer factors of 80106 that divides 80106 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 79, 158, 169, 237, 338, 474, 507, 1014, 1027, 2054, 3081, 6162, 13351, 26702, 40053

Step-4: Factors of 80121

List of positive integer factors of 80121 that divides 80106 without a remainder.

1, 3, 17, 51, 1571, 4713, 26707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80106 and 80121. The biggest common factor number is the GCF number.
So the greatest common factor 80106 and 80121 is 3.

Also check out the Least Common Multiple of 80106 and 80121