What is the Greatest Common Factor of 80100 and 80108?

Greatest common factor (GCF) of 80100 and 80108 is 4.

GCF(80100,80108) = 4

We will now calculate the prime factors of 80100 and 80108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80100 and 80108.

How to find the GCF of 80100 and 80108?

We will first find the prime factorization of 80100 and 80108. After we will calculate the factors of 80100 and 80108 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 80108

Prime factors of 80108 are 2, 7, 2861. Prime factorization of 80108 in exponential form is:

80108 = 2² × 7¹ × 2861¹

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 80108

List of positive integer factors of 80108 that divides 80100 without a remainder.

1, 2, 4, 7, 14, 28, 2861, 5722, 11444, 20027, 40054

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80100 and 80108. The biggest common factor number is the GCF number.
So the greatest common factor 80100 and 80108 is 4.

Also check out the Least Common Multiple of 80100 and 80108