What is the Greatest Common Factor of 90408 and 90425?

Greatest common factor (GCF) of 90408 and 90425 is 1.

GCF(90408,90425) = 1

We will now calculate the prime factors of 90408 and 90425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90408 and 90425.

How to find the GCF of 90408 and 90425?

We will first find the prime factorization of 90408 and 90425. After we will calculate the factors of 90408 and 90425 and find the biggest common factor number .

Step-1: Prime Factorization of 90408

Prime factors of 90408 are 2, 3, 3767. Prime factorization of 90408 in exponential form is:

90408 = 2³ × 3¹ × 3767¹

Step-2: Prime Factorization of 90425

Prime factors of 90425 are 5, 3617. Prime factorization of 90425 in exponential form is:

90425 = 5² × 3617¹

Step-3: Factors of 90408

List of positive integer factors of 90408 that divides 90408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3767, 7534, 11301, 15068, 22602, 30136, 45204

Step-4: Factors of 90425

List of positive integer factors of 90425 that divides 90408 without a remainder.

1, 5, 25, 3617, 18085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90408 and 90425. The biggest common factor number is the GCF number.
So the greatest common factor 90408 and 90425 is 1.

Also check out the Least Common Multiple of 90408 and 90425