What is the Greatest Common Factor of 80100 and 80114?

Greatest common factor (GCF) of 80100 and 80114 is 2.

GCF(80100,80114) = 2

We will now calculate the prime factors of 80100 and 80114, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80100 and 80114.

How to find the GCF of 80100 and 80114?

We will first find the prime factorization of 80100 and 80114. After we will calculate the factors of 80100 and 80114 and find the biggest common factor number .

Step-1: Prime Factorization of 80100

Prime factors of 80100 are 2, 3, 5, 89. Prime factorization of 80100 in exponential form is:

80100 = 2² × 3² × 5² × 89¹

Step-2: Prime Factorization of 80114

Prime factors of 80114 are 2, 41, 977. Prime factorization of 80114 in exponential form is:

80114 = 2¹ × 41¹ × 977¹

Step-3: Factors of 80100

List of positive integer factors of 80100 that divides 80100 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 89, 90, 100, 150, 178, 180, 225, 267, 300, 356, 445, 450, 534, 801, 890, 900, 1068, 1335, 1602, 1780, 2225, 2670, 3204, 4005, 4450, 5340, 6675, 8010, 8900, 13350, 16020, 20025, 26700, 40050

Step-4: Factors of 80114

List of positive integer factors of 80114 that divides 80100 without a remainder.

1, 2, 41, 82, 977, 1954, 40057

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80100 and 80114. The biggest common factor number is the GCF number.
So the greatest common factor 80100 and 80114 is 2.

Also check out the Least Common Multiple of 80100 and 80114