What is the Greatest Common Factor of 11235 and 11253?

Greatest common factor (GCF) of 11235 and 11253 is 3.

GCF(11235,11253) = 3

We will now calculate the prime factors of 11235 and 11253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11235 and 11253.

How to find the GCF of 11235 and 11253?

We will first find the prime factorization of 11235 and 11253. After we will calculate the factors of 11235 and 11253 and find the biggest common factor number .

Step-1: Prime Factorization of 11235

Prime factors of 11235 are 3, 5, 7, 107. Prime factorization of 11235 in exponential form is:

11235 = 3¹ × 5¹ × 7¹ × 107¹

Step-2: Prime Factorization of 11253

Prime factors of 11253 are 3, 11, 31. Prime factorization of 11253 in exponential form is:

11253 = 3¹ × 11² × 31¹

Step-3: Factors of 11235

List of positive integer factors of 11235 that divides 11235 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 107, 321, 535, 749, 1605, 2247, 3745

Step-4: Factors of 11253

List of positive integer factors of 11253 that divides 11235 without a remainder.

1, 3, 11, 31, 33, 93, 121, 341, 363, 1023, 3751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11235 and 11253. The biggest common factor number is the GCF number.
So the greatest common factor 11235 and 11253 is 3.

Also check out the Least Common Multiple of 11235 and 11253