What is the Greatest Common Factor of 41470 and 41488?

Greatest common factor (GCF) of 41470 and 41488 is 2.

GCF(41470,41488) = 2

We will now calculate the prime factors of 41470 and 41488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41470 and 41488.

How to find the GCF of 41470 and 41488?

We will first find the prime factorization of 41470 and 41488. After we will calculate the factors of 41470 and 41488 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 41488

Prime factors of 41488 are 2, 2593. Prime factorization of 41488 in exponential form is:

41488 = 2⁴ × 2593¹

Step-3: Factors of 41470

List of positive integer factors of 41470 that divides 41470 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

Step-4: Factors of 41488

List of positive integer factors of 41488 that divides 41470 without a remainder.

1, 2, 4, 8, 16, 2593, 5186, 10372, 20744

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41470 and 41488. The biggest common factor number is the GCF number.
So the greatest common factor 41470 and 41488 is 2.

Also check out the Least Common Multiple of 41470 and 41488