What is the Greatest Common Factor of 41610 and 41628?

Greatest common factor (GCF) of 41610 and 41628 is 6.

GCF(41610,41628) = 6

We will now calculate the prime factors of 41610 and 41628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41610 and 41628.

How to find the GCF of 41610 and 41628?

We will first find the prime factorization of 41610 and 41628. After we will calculate the factors of 41610 and 41628 and find the biggest common factor number .

Step-1: Prime Factorization of 41610

Prime factors of 41610 are 2, 3, 5, 19, 73. Prime factorization of 41610 in exponential form is:

41610 = 2¹ × 3¹ × 5¹ × 19¹ × 73¹

Step-2: Prime Factorization of 41628

Prime factors of 41628 are 2, 3, 3469. Prime factorization of 41628 in exponential form is:

41628 = 2² × 3¹ × 3469¹

Step-3: Factors of 41610

List of positive integer factors of 41610 that divides 41610 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 73, 95, 114, 146, 190, 219, 285, 365, 438, 570, 730, 1095, 1387, 2190, 2774, 4161, 6935, 8322, 13870, 20805

Step-4: Factors of 41628

List of positive integer factors of 41628 that divides 41610 without a remainder.

1, 2, 3, 4, 6, 12, 3469, 6938, 10407, 13876, 20814

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41610 and 41628. The biggest common factor number is the GCF number.
So the greatest common factor 41610 and 41628 is 6.

Also check out the Least Common Multiple of 41610 and 41628