What is the Greatest Common Factor of 88475 and 88485?

Greatest common factor (GCF) of 88475 and 88485 is 5.

GCF(88475,88485) = 5

We will now calculate the prime factors of 88475 and 88485, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88475 and 88485.

How to find the GCF of 88475 and 88485?

We will first find the prime factorization of 88475 and 88485. After we will calculate the factors of 88475 and 88485 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 88485

Prime factors of 88485 are 3, 5, 17, 347. Prime factorization of 88485 in exponential form is:

88485 = 3¹ × 5¹ × 17¹ × 347¹

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 88485

List of positive integer factors of 88485 that divides 88475 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255, 347, 1041, 1735, 5205, 5899, 17697, 29495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88475 and 88485. The biggest common factor number is the GCF number.
So the greatest common factor 88475 and 88485 is 5.

Also check out the Least Common Multiple of 88475 and 88485