What is the Greatest Common Factor of 88475 and 88490?

Greatest common factor (GCF) of 88475 and 88490 is 5.

GCF(88475,88490) = 5

We will now calculate the prime factors of 88475 and 88490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88475 and 88490.

How to find the GCF of 88475 and 88490?

We will first find the prime factorization of 88475 and 88490. After we will calculate the factors of 88475 and 88490 and find the biggest common factor number .

Step-1: Prime Factorization of 88475

Prime factors of 88475 are 5, 3539. Prime factorization of 88475 in exponential form is:

88475 = 5² × 3539¹

Step-2: 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-3: Factors of 88475

List of positive integer factors of 88475 that divides 88475 without a remainder.

1, 5, 25, 3539, 17695

Step-4: Factors of 88490

List of positive integer factors of 88490 that divides 88475 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88475 and 88490. The biggest common factor number is the GCF number.
So the greatest common factor 88475 and 88490 is 5.

Also check out the Least Common Multiple of 88475 and 88490