What is the Greatest Common Factor of 90925 and 90940?

Greatest common factor (GCF) of 90925 and 90940 is 5.

GCF(90925,90940) = 5

We will now calculate the prime factors of 90925 and 90940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90925 and 90940.

How to find the GCF of 90925 and 90940?

We will first find the prime factorization of 90925 and 90940. After we will calculate the factors of 90925 and 90940 and find the biggest common factor number .

Step-1: Prime Factorization of 90925

Prime factors of 90925 are 5, 3637. Prime factorization of 90925 in exponential form is:

90925 = 5² × 3637¹

Step-2: Prime Factorization of 90940

Prime factors of 90940 are 2, 5, 4547. Prime factorization of 90940 in exponential form is:

90940 = 2² × 5¹ × 4547¹

Step-3: Factors of 90925

List of positive integer factors of 90925 that divides 90925 without a remainder.

1, 5, 25, 3637, 18185

Step-4: Factors of 90940

List of positive integer factors of 90940 that divides 90925 without a remainder.

1, 2, 4, 5, 10, 20, 4547, 9094, 18188, 22735, 45470

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90925 and 90940. The biggest common factor number is the GCF number.
So the greatest common factor 90925 and 90940 is 5.

Also check out the Least Common Multiple of 90925 and 90940