What is the Greatest Common Factor of 61249 and 61265?

Greatest common factor (GCF) of 61249 and 61265 is 1.

GCF(61249,61265) = 1

We will now calculate the prime factors of 61249 and 61265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61249 and 61265.

How to find the GCF of 61249 and 61265?

We will first find the prime factorization of 61249 and 61265. After we will calculate the factors of 61249 and 61265 and find the biggest common factor number .

Step-1: Prime Factorization of 61249

Prime factors of 61249 are 23, 2663. Prime factorization of 61249 in exponential form is:

61249 = 23¹ × 2663¹

Step-2: Prime Factorization of 61265

Prime factors of 61265 are 5, 12253. Prime factorization of 61265 in exponential form is:

61265 = 5¹ × 12253¹

Step-3: Factors of 61249

List of positive integer factors of 61249 that divides 61249 without a remainder.

1, 23, 2663

Step-4: Factors of 61265

List of positive integer factors of 61265 that divides 61249 without a remainder.

1, 5, 12253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61249 and 61265. The biggest common factor number is the GCF number.
So the greatest common factor 61249 and 61265 is 1.

Also check out the Least Common Multiple of 61249 and 61265