What is the Greatest Common Factor of 41565 and 41574?

Greatest common factor (GCF) of 41565 and 41574 is 3.

GCF(41565,41574) = 3

We will now calculate the prime factors of 41565 and 41574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41565 and 41574.

How to find the GCF of 41565 and 41574?

We will first find the prime factorization of 41565 and 41574. After we will calculate the factors of 41565 and 41574 and find the biggest common factor number .

Step-1: Prime Factorization of 41565

Prime factors of 41565 are 3, 5, 17, 163. Prime factorization of 41565 in exponential form is:

41565 = 3¹ × 5¹ × 17¹ × 163¹

Step-2: Prime Factorization of 41574

Prime factors of 41574 are 2, 3, 13, 41. Prime factorization of 41574 in exponential form is:

41574 = 2¹ × 3¹ × 13² × 41¹

Step-3: Factors of 41565

List of positive integer factors of 41565 that divides 41565 without a remainder.

1, 3, 5, 15, 17, 51, 85, 163, 255, 489, 815, 2445, 2771, 8313, 13855

Step-4: Factors of 41574

List of positive integer factors of 41574 that divides 41565 without a remainder.

1, 2, 3, 6, 13, 26, 39, 41, 78, 82, 123, 169, 246, 338, 507, 533, 1014, 1066, 1599, 3198, 6929, 13858, 20787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41565 and 41574. The biggest common factor number is the GCF number.
So the greatest common factor 41565 and 41574 is 3.

Also check out the Least Common Multiple of 41565 and 41574