What is the Greatest Common Factor of 81475 and 81490?

Greatest common factor (GCF) of 81475 and 81490 is 5.

GCF(81475,81490) = 5

We will now calculate the prime factors of 81475 and 81490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81475 and 81490.

How to find the GCF of 81475 and 81490?

We will first find the prime factorization of 81475 and 81490. After we will calculate the factors of 81475 and 81490 and find the biggest common factor number .

Step-1: Prime Factorization of 81475

Prime factors of 81475 are 5, 3259. Prime factorization of 81475 in exponential form is:

81475 = 5² × 3259¹

Step-2: Prime Factorization of 81490

Prime factors of 81490 are 2, 5, 29, 281. Prime factorization of 81490 in exponential form is:

81490 = 2¹ × 5¹ × 29¹ × 281¹

Step-3: Factors of 81475

List of positive integer factors of 81475 that divides 81475 without a remainder.

1, 5, 25, 3259, 16295

Step-4: Factors of 81490

List of positive integer factors of 81490 that divides 81475 without a remainder.

1, 2, 5, 10, 29, 58, 145, 281, 290, 562, 1405, 2810, 8149, 16298, 40745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81475 and 81490. The biggest common factor number is the GCF number.
So the greatest common factor 81475 and 81490 is 5.

Also check out the Least Common Multiple of 81475 and 81490