What is the Greatest Common Factor of 88490 and 88505?

Greatest common factor (GCF) of 88490 and 88505 is 5.

GCF(88490,88505) = 5

We will now calculate the prime factors of 88490 and 88505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88490 and 88505.

How to find the GCF of 88490 and 88505?

We will first find the prime factorization of 88490 and 88505. After we will calculate the factors of 88490 and 88505 and find the biggest common factor number .

Step-1: Prime Factorization of 88490

Prime factors of 88490 are 2, 5, 8849. Prime factorization of 88490 in exponential form is:

88490 = 2¹ × 5¹ × 8849¹

Step-2: Prime Factorization of 88505

Prime factors of 88505 are 5, 31, 571. Prime factorization of 88505 in exponential form is:

88505 = 5¹ × 31¹ × 571¹

Step-3: Factors of 88490

List of positive integer factors of 88490 that divides 88490 without a remainder.

1, 2, 5, 10, 8849, 17698, 44245

Step-4: Factors of 88505

List of positive integer factors of 88505 that divides 88490 without a remainder.

1, 5, 31, 155, 571, 2855, 17701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88490 and 88505. The biggest common factor number is the GCF number.
So the greatest common factor 88490 and 88505 is 5.

Also check out the Least Common Multiple of 88490 and 88505