What is the Greatest Common Factor of 80095 and 80100?

Greatest common factor (GCF) of 80095 and 80100 is 5.

GCF(80095,80100) = 5

We will now calculate the prime factors of 80095 and 80100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80095 and 80100.

How to find the GCF of 80095 and 80100?

We will first find the prime factorization of 80095 and 80100. After we will calculate the factors of 80095 and 80100 and find the biggest common factor number .

Step-1: Prime Factorization of 80095

Prime factors of 80095 are 5, 83, 193. Prime factorization of 80095 in exponential form is:

80095 = 5¹ × 83¹ × 193¹

Step-2: 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-3: Factors of 80095

List of positive integer factors of 80095 that divides 80095 without a remainder.

1, 5, 83, 193, 415, 965, 16019

Step-4: Factors of 80100

List of positive integer factors of 80100 that divides 80095 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80095 and 80100. The biggest common factor number is the GCF number.
So the greatest common factor 80095 and 80100 is 5.

Also check out the Least Common Multiple of 80095 and 80100