What is the Greatest Common Factor of 53691 and 53703?

Greatest common factor (GCF) of 53691 and 53703 is 3.

GCF(53691,53703) = 3

We will now calculate the prime factors of 53691 and 53703, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53691 and 53703.

How to find the GCF of 53691 and 53703?

We will first find the prime factorization of 53691 and 53703. After we will calculate the factors of 53691 and 53703 and find the biggest common factor number .

Step-1: Prime Factorization of 53691

Prime factors of 53691 are 3, 11, 1627. Prime factorization of 53691 in exponential form is:

53691 = 3¹ × 11¹ × 1627¹

Step-2: Prime Factorization of 53703

Prime factors of 53703 are 3, 13, 17. Prime factorization of 53703 in exponential form is:

53703 = 3⁵ × 13¹ × 17¹

Step-3: Factors of 53691

List of positive integer factors of 53691 that divides 53691 without a remainder.

1, 3, 11, 33, 1627, 4881, 17897

Step-4: Factors of 53703

List of positive integer factors of 53703 that divides 53691 without a remainder.

1, 3, 9, 13, 17, 27, 39, 51, 81, 117, 153, 221, 243, 351, 459, 663, 1053, 1377, 1989, 3159, 4131, 5967, 17901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53691 and 53703. The biggest common factor number is the GCF number.
So the greatest common factor 53691 and 53703 is 3.

Also check out the Least Common Multiple of 53691 and 53703