What is the Greatest Common Factor of 41634 and 41652?

Greatest common factor (GCF) of 41634 and 41652 is 18.

GCF(41634,41652) = 18

We will now calculate the prime factors of 41634 and 41652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41634 and 41652.

How to find the GCF of 41634 and 41652?

We will first find the prime factorization of 41634 and 41652. After we will calculate the factors of 41634 and 41652 and find the biggest common factor number .

Step-1: Prime Factorization of 41634

Prime factors of 41634 are 2, 3, 257. Prime factorization of 41634 in exponential form is:

41634 = 2¹ × 3⁴ × 257¹

Step-2: Prime Factorization of 41652

Prime factors of 41652 are 2, 3, 13, 89. Prime factorization of 41652 in exponential form is:

41652 = 2² × 3² × 13¹ × 89¹

Step-3: Factors of 41634

List of positive integer factors of 41634 that divides 41634 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 257, 514, 771, 1542, 2313, 4626, 6939, 13878, 20817

Step-4: Factors of 41652

List of positive integer factors of 41652 that divides 41634 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 89, 117, 156, 178, 234, 267, 356, 468, 534, 801, 1068, 1157, 1602, 2314, 3204, 3471, 4628, 6942, 10413, 13884, 20826

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41634 and 41652. The biggest common factor number is the GCF number.
So the greatest common factor 41634 and 41652 is 18.

Also check out the Least Common Multiple of 41634 and 41652