What is the Greatest Common Factor of 53705 and 53721?

Greatest common factor (GCF) of 53705 and 53721 is 1.

GCF(53705,53721) = 1

We will now calculate the prime factors of 53705 and 53721, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53705 and 53721.

How to find the GCF of 53705 and 53721?

We will first find the prime factorization of 53705 and 53721. After we will calculate the factors of 53705 and 53721 and find the biggest common factor number .

Step-1: Prime Factorization of 53705

Prime factors of 53705 are 5, 23, 467. Prime factorization of 53705 in exponential form is:

53705 = 5¹ × 23¹ × 467¹

Step-2: Prime Factorization of 53721

Prime factors of 53721 are 3, 47, 127. Prime factorization of 53721 in exponential form is:

53721 = 3² × 47¹ × 127¹

Step-3: Factors of 53705

List of positive integer factors of 53705 that divides 53705 without a remainder.

1, 5, 23, 115, 467, 2335, 10741

Step-4: Factors of 53721

List of positive integer factors of 53721 that divides 53705 without a remainder.

1, 3, 9, 47, 127, 141, 381, 423, 1143, 5969, 17907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53705 and 53721. The biggest common factor number is the GCF number.
So the greatest common factor 53705 and 53721 is 1.

Also check out the Least Common Multiple of 53705 and 53721