What is the Greatest Common Factor of 40848 and 40861?

Greatest common factor (GCF) of 40848 and 40861 is 1.

GCF(40848,40861) = 1

We will now calculate the prime factors of 40848 and 40861, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40848 and 40861.

How to find the GCF of 40848 and 40861?

We will first find the prime factorization of 40848 and 40861. After we will calculate the factors of 40848 and 40861 and find the biggest common factor number .

Step-1: Prime Factorization of 40848

Prime factors of 40848 are 2, 3, 23, 37. Prime factorization of 40848 in exponential form is:

40848 = 2⁴ × 3¹ × 23¹ × 37¹

Step-2: Prime Factorization of 40861

Prime factors of 40861 are 29, 1409. Prime factorization of 40861 in exponential form is:

40861 = 29¹ × 1409¹

Step-3: Factors of 40848

List of positive integer factors of 40848 that divides 40848 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 37, 46, 48, 69, 74, 92, 111, 138, 148, 184, 222, 276, 296, 368, 444, 552, 592, 851, 888, 1104, 1702, 1776, 2553, 3404, 5106, 6808, 10212, 13616, 20424

Step-4: Factors of 40861

List of positive integer factors of 40861 that divides 40848 without a remainder.

1, 29, 1409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40848 and 40861. The biggest common factor number is the GCF number.
So the greatest common factor 40848 and 40861 is 1.

Also check out the Least Common Multiple of 40848 and 40861