What is the Greatest Common Factor of 11025 and 11031?

Greatest common factor (GCF) of 11025 and 11031 is 3.

GCF(11025,11031) = 3

We will now calculate the prime factors of 11025 and 11031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11025 and 11031.

How to find the GCF of 11025 and 11031?

We will first find the prime factorization of 11025 and 11031. After we will calculate the factors of 11025 and 11031 and find the biggest common factor number .

Step-1: Prime Factorization of 11025

Prime factors of 11025 are 3, 5, 7. Prime factorization of 11025 in exponential form is:

11025 = 3² × 5² × 7²

Step-2: Prime Factorization of 11031

Prime factors of 11031 are 3, 3677. Prime factorization of 11031 in exponential form is:

11031 = 3¹ × 3677¹

Step-3: Factors of 11025

List of positive integer factors of 11025 that divides 11025 without a remainder.

1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 49, 63, 75, 105, 147, 175, 225, 245, 315, 441, 525, 735, 1225, 1575, 2205, 3675

Step-4: Factors of 11031

List of positive integer factors of 11031 that divides 11025 without a remainder.

1, 3, 3677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11025 and 11031. The biggest common factor number is the GCF number.
So the greatest common factor 11025 and 11031 is 3.

Also check out the Least Common Multiple of 11025 and 11031