What is the Greatest Common Factor of 53739 and 53749?

Greatest common factor (GCF) of 53739 and 53749 is 1.

GCF(53739,53749) = 1

We will now calculate the prime factors of 53739 and 53749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53739 and 53749.

How to find the GCF of 53739 and 53749?

We will first find the prime factorization of 53739 and 53749. After we will calculate the factors of 53739 and 53749 and find the biggest common factor number .

Step-1: Prime Factorization of 53739

Prime factors of 53739 are 3, 7, 853. Prime factorization of 53739 in exponential form is:

53739 = 3² × 7¹ × 853¹

Step-2: Prime Factorization of 53749

Prime factors of 53749 are 59, 911. Prime factorization of 53749 in exponential form is:

53749 = 59¹ × 911¹

Step-3: Factors of 53739

List of positive integer factors of 53739 that divides 53739 without a remainder.

1, 3, 7, 9, 21, 63, 853, 2559, 5971, 7677, 17913

Step-4: Factors of 53749

List of positive integer factors of 53749 that divides 53739 without a remainder.

1, 59, 911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53739 and 53749. The biggest common factor number is the GCF number.
So the greatest common factor 53739 and 53749 is 1.

Also check out the Least Common Multiple of 53739 and 53749