What is the Greatest Common Factor of 10249 and 10265?

Greatest common factor (GCF) of 10249 and 10265 is 1.

GCF(10249,10265) = 1

We will now calculate the prime factors of 10249 and 10265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10249 and 10265.

How to find the GCF of 10249 and 10265?

We will first find the prime factorization of 10249 and 10265. After we will calculate the factors of 10249 and 10265 and find the biggest common factor number .

Step-1: Prime Factorization of 10249

Prime factors of 10249 are 37, 277. Prime factorization of 10249 in exponential form is:

10249 = 37¹ × 277¹

Step-2: Prime Factorization of 10265

Prime factors of 10265 are 5, 2053. Prime factorization of 10265 in exponential form is:

10265 = 5¹ × 2053¹

Step-3: Factors of 10249

List of positive integer factors of 10249 that divides 10249 without a remainder.

1, 37, 277

Step-4: Factors of 10265

List of positive integer factors of 10265 that divides 10249 without a remainder.

1, 5, 2053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10249 and 10265. The biggest common factor number is the GCF number.
So the greatest common factor 10249 and 10265 is 1.

Also check out the Least Common Multiple of 10249 and 10265