What is the Greatest Common Factor of 41782 and 41790?

Greatest common factor (GCF) of 41782 and 41790 is 2.

GCF(41782,41790) = 2

We will now calculate the prime factors of 41782 and 41790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41782 and 41790.

How to find the GCF of 41782 and 41790?

We will first find the prime factorization of 41782 and 41790. After we will calculate the factors of 41782 and 41790 and find the biggest common factor number .

Step-1: Prime Factorization of 41782

Prime factors of 41782 are 2, 13, 1607. Prime factorization of 41782 in exponential form is:

41782 = 2¹ × 13¹ × 1607¹

Step-2: Prime Factorization of 41790

Prime factors of 41790 are 2, 3, 5, 7, 199. Prime factorization of 41790 in exponential form is:

41790 = 2¹ × 3¹ × 5¹ × 7¹ × 199¹

Step-3: Factors of 41782

List of positive integer factors of 41782 that divides 41782 without a remainder.

1, 2, 13, 26, 1607, 3214, 20891

Step-4: Factors of 41790

List of positive integer factors of 41790 that divides 41782 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 199, 210, 398, 597, 995, 1194, 1393, 1990, 2786, 2985, 4179, 5970, 6965, 8358, 13930, 20895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41782 and 41790. The biggest common factor number is the GCF number.
So the greatest common factor 41782 and 41790 is 2.

Also check out the Least Common Multiple of 41782 and 41790