What is the Greatest Common Factor of 11235 and 11249?

Greatest common factor (GCF) of 11235 and 11249 is 7.

GCF(11235,11249) = 7

We will now calculate the prime factors of 11235 and 11249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11235 and 11249.

How to find the GCF of 11235 and 11249?

We will first find the prime factorization of 11235 and 11249. After we will calculate the factors of 11235 and 11249 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 11249

Prime factors of 11249 are 7, 1607. Prime factorization of 11249 in exponential form is:

11249 = 7¹ × 1607¹

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 11249

List of positive integer factors of 11249 that divides 11235 without a remainder.

1, 7, 1607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11235 and 11249. The biggest common factor number is the GCF number.
So the greatest common factor 11235 and 11249 is 7.

Also check out the Least Common Multiple of 11235 and 11249