What is the Greatest Common Factor of 80490 and 80495?

Greatest common factor (GCF) of 80490 and 80495 is 5.

GCF(80490,80495) = 5

We will now calculate the prime factors of 80490 and 80495, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80490 and 80495.

How to find the GCF of 80490 and 80495?

We will first find the prime factorization of 80490 and 80495. After we will calculate the factors of 80490 and 80495 and find the biggest common factor number .

Step-1: Prime Factorization of 80490

Prime factors of 80490 are 2, 3, 5, 2683. Prime factorization of 80490 in exponential form is:

80490 = 2¹ × 3¹ × 5¹ × 2683¹

Step-2: Prime Factorization of 80495

Prime factors of 80495 are 5, 17, 947. Prime factorization of 80495 in exponential form is:

80495 = 5¹ × 17¹ × 947¹

Step-3: Factors of 80490

List of positive integer factors of 80490 that divides 80490 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2683, 5366, 8049, 13415, 16098, 26830, 40245

Step-4: Factors of 80495

List of positive integer factors of 80495 that divides 80490 without a remainder.

1, 5, 17, 85, 947, 4735, 16099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80490 and 80495. The biggest common factor number is the GCF number.
So the greatest common factor 80490 and 80495 is 5.

Also check out the Least Common Multiple of 80490 and 80495