What is the Greatest Common Factor of 90925 and 90945?

Greatest common factor (GCF) of 90925 and 90945 is 5.

GCF(90925,90945) = 5

We will now calculate the prime factors of 90925 and 90945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90925 and 90945.

How to find the GCF of 90925 and 90945?

We will first find the prime factorization of 90925 and 90945. After we will calculate the factors of 90925 and 90945 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 90945

Prime factors of 90945 are 3, 5, 43, 47. Prime factorization of 90945 in exponential form is:

90945 = 3² × 5¹ × 43¹ × 47¹

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 90945

List of positive integer factors of 90945 that divides 90925 without a remainder.

1, 3, 5, 9, 15, 43, 45, 47, 129, 141, 215, 235, 387, 423, 645, 705, 1935, 2021, 2115, 6063, 10105, 18189, 30315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90925 and 90945. The biggest common factor number is the GCF number.
So the greatest common factor 90925 and 90945 is 5.

Also check out the Least Common Multiple of 90925 and 90945