What is the Greatest Common Factor of 53703 and 53720?

Greatest common factor (GCF) of 53703 and 53720 is 17.

GCF(53703,53720) = 17

We will now calculate the prime factors of 53703 and 53720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53703 and 53720.

How to find the GCF of 53703 and 53720?

We will first find the prime factorization of 53703 and 53720. After we will calculate the factors of 53703 and 53720 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 53720

Prime factors of 53720 are 2, 5, 17, 79. Prime factorization of 53720 in exponential form is:

53720 = 2³ × 5¹ × 17¹ × 79¹

Step-3: Factors of 53703

List of positive integer factors of 53703 that divides 53703 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

Step-4: Factors of 53720

List of positive integer factors of 53720 that divides 53703 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 79, 85, 136, 158, 170, 316, 340, 395, 632, 680, 790, 1343, 1580, 2686, 3160, 5372, 6715, 10744, 13430, 26860

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53703 and 53720. The biggest common factor number is the GCF number.
So the greatest common factor 53703 and 53720 is 17.

Also check out the Least Common Multiple of 53703 and 53720