What is the Greatest Common Factor of 41986 and 42005?

Greatest common factor (GCF) of 41986 and 42005 is 1.

GCF(41986,42005) = 1

We will now calculate the prime factors of 41986 and 42005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41986 and 42005.

How to find the GCF of 41986 and 42005?

We will first find the prime factorization of 41986 and 42005. After we will calculate the factors of 41986 and 42005 and find the biggest common factor number .

Step-1: Prime Factorization of 41986

Prime factors of 41986 are 2, 7, 2999. Prime factorization of 41986 in exponential form is:

41986 = 2¹ × 7¹ × 2999¹

Step-2: Prime Factorization of 42005

Prime factors of 42005 are 5, 31, 271. Prime factorization of 42005 in exponential form is:

42005 = 5¹ × 31¹ × 271¹

Step-3: Factors of 41986

List of positive integer factors of 41986 that divides 41986 without a remainder.

1, 2, 7, 14, 2999, 5998, 20993

Step-4: Factors of 42005

List of positive integer factors of 42005 that divides 41986 without a remainder.

1, 5, 31, 155, 271, 1355, 8401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41986 and 42005. The biggest common factor number is the GCF number.
So the greatest common factor 41986 and 42005 is 1.

Also check out the Least Common Multiple of 41986 and 42005