What is the Greatest Common Factor of 81241 and 81253?

Greatest common factor (GCF) of 81241 and 81253 is 1.

GCF(81241,81253) = 1

We will now calculate the prime factors of 81241 and 81253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81241 and 81253.

How to find the GCF of 81241 and 81253?

We will first find the prime factorization of 81241 and 81253. After we will calculate the factors of 81241 and 81253 and find the biggest common factor number .

Step-1: Prime Factorization of 81241

Prime factors of 81241 are 137, 593. Prime factorization of 81241 in exponential form is:

81241 = 137¹ × 593¹

Step-2: Prime Factorization of 81253

Prime factors of 81253 are 193, 421. Prime factorization of 81253 in exponential form is:

81253 = 193¹ × 421¹

Step-3: Factors of 81241

List of positive integer factors of 81241 that divides 81241 without a remainder.

1, 137, 593

Step-4: Factors of 81253

List of positive integer factors of 81253 that divides 81241 without a remainder.

1, 193, 421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81241 and 81253. The biggest common factor number is the GCF number.
So the greatest common factor 81241 and 81253 is 1.

Also check out the Least Common Multiple of 81241 and 81253