What is the Greatest Common Factor of 41460 and 41470?

Greatest common factor (GCF) of 41460 and 41470 is 10.

GCF(41460,41470) = 10

We will now calculate the prime factors of 41460 and 41470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41460 and 41470.

How to find the GCF of 41460 and 41470?

We will first find the prime factorization of 41460 and 41470. After we will calculate the factors of 41460 and 41470 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 41470

Prime factors of 41470 are 2, 5, 11, 13, 29. Prime factorization of 41470 in exponential form is:

41470 = 2¹ × 5¹ × 11¹ × 13¹ × 29¹

Step-3: Factors of 41460

List of positive integer factors of 41460 that divides 41460 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

Step-4: Factors of 41470

List of positive integer factors of 41470 that divides 41460 without a remainder.

1, 2, 5, 10, 11, 13, 22, 26, 29, 55, 58, 65, 110, 130, 143, 145, 286, 290, 319, 377, 638, 715, 754, 1430, 1595, 1885, 3190, 3770, 4147, 8294, 20735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41460 and 41470. The biggest common factor number is the GCF number.
So the greatest common factor 41460 and 41470 is 10.

Also check out the Least Common Multiple of 41460 and 41470