What is the Greatest Common Factor of 41454 and 41460?

Greatest common factor (GCF) of 41454 and 41460 is 6.

GCF(41454,41460) = 6

We will now calculate the prime factors of 41454 and 41460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41454 and 41460.

How to find the GCF of 41454 and 41460?

We will first find the prime factorization of 41454 and 41460. After we will calculate the factors of 41454 and 41460 and find the biggest common factor number .

Step-1: Prime Factorization of 41454

Prime factors of 41454 are 2, 3, 7, 47. Prime factorization of 41454 in exponential form is:

41454 = 2¹ × 3² × 7² × 47¹

Step-2: Prime Factorization of 41460

Prime factors of 41460 are 2, 3, 5, 691. Prime factorization of 41460 in exponential form is:

41460 = 2² × 3¹ × 5¹ × 691¹

Step-3: Factors of 41454

List of positive integer factors of 41454 that divides 41454 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 47, 49, 63, 94, 98, 126, 141, 147, 282, 294, 329, 423, 441, 658, 846, 882, 987, 1974, 2303, 2961, 4606, 5922, 6909, 13818, 20727

Step-4: Factors of 41460

List of positive integer factors of 41460 that divides 41454 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 691, 1382, 2073, 2764, 3455, 4146, 6910, 8292, 10365, 13820, 20730

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41454 and 41460. The biggest common factor number is the GCF number.
So the greatest common factor 41454 and 41460 is 6.

Also check out the Least Common Multiple of 41454 and 41460