What is the Greatest Common Factor of 41721 and 41730?

Greatest common factor (GCF) of 41721 and 41730 is 3.

GCF(41721,41730) = 3

We will now calculate the prime factors of 41721 and 41730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41721 and 41730.

How to find the GCF of 41721 and 41730?

We will first find the prime factorization of 41721 and 41730. After we will calculate the factors of 41721 and 41730 and find the biggest common factor number .

Step-1: Prime Factorization of 41721

Prime factors of 41721 are 3, 13907. Prime factorization of 41721 in exponential form is:

41721 = 3¹ × 13907¹

Step-2: Prime Factorization of 41730

Prime factors of 41730 are 2, 3, 5, 13, 107. Prime factorization of 41730 in exponential form is:

41730 = 2¹ × 3¹ × 5¹ × 13¹ × 107¹

Step-3: Factors of 41721

List of positive integer factors of 41721 that divides 41721 without a remainder.

1, 3, 13907

Step-4: Factors of 41730

List of positive integer factors of 41730 that divides 41721 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 107, 130, 195, 214, 321, 390, 535, 642, 1070, 1391, 1605, 2782, 3210, 4173, 6955, 8346, 13910, 20865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41721 and 41730. The biggest common factor number is the GCF number.
So the greatest common factor 41721 and 41730 is 3.

Also check out the Least Common Multiple of 41721 and 41730