What is the Greatest Common Factor of 53041 and 53049?

Greatest common factor (GCF) of 53041 and 53049 is 1.

GCF(53041,53049) = 1

We will now calculate the prime factors of 53041 and 53049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53041 and 53049.

How to find the GCF of 53041 and 53049?

We will first find the prime factorization of 53041 and 53049. After we will calculate the factors of 53041 and 53049 and find the biggest common factor number .

Step-1: Prime Factorization of 53041

Prime factors of 53041 are 29, 31, 59. Prime factorization of 53041 in exponential form is:

53041 = 29¹ × 31¹ × 59¹

Step-2: Prime Factorization of 53049

Prime factors of 53049 are 3, 17683. Prime factorization of 53049 in exponential form is:

53049 = 3¹ × 17683¹

Step-3: Factors of 53041

List of positive integer factors of 53041 that divides 53041 without a remainder.

1, 29, 31, 59, 899, 1711, 1829

Step-4: Factors of 53049

List of positive integer factors of 53049 that divides 53041 without a remainder.

1, 3, 17683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53041 and 53049. The biggest common factor number is the GCF number.
So the greatest common factor 53041 and 53049 is 1.

Also check out the Least Common Multiple of 53041 and 53049