What is the Greatest Common Factor of 45981 and 46001?

Greatest common factor (GCF) of 45981 and 46001 is 1.

GCF(45981,46001) = 1

We will now calculate the prime factors of 45981 and 46001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45981 and 46001.

How to find the GCF of 45981 and 46001?

We will first find the prime factorization of 45981 and 46001. After we will calculate the factors of 45981 and 46001 and find the biggest common factor number .

Step-1: Prime Factorization of 45981

Prime factors of 45981 are 3, 13, 131. Prime factorization of 45981 in exponential form is:

45981 = 3³ × 13¹ × 131¹

Step-2: Prime Factorization of 46001

Prime factors of 46001 are 157, 293. Prime factorization of 46001 in exponential form is:

46001 = 157¹ × 293¹

Step-3: Factors of 45981

List of positive integer factors of 45981 that divides 45981 without a remainder.

1, 3, 9, 13, 27, 39, 117, 131, 351, 393, 1179, 1703, 3537, 5109, 15327

Step-4: Factors of 46001

List of positive integer factors of 46001 that divides 45981 without a remainder.

1, 157, 293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45981 and 46001. The biggest common factor number is the GCF number.
So the greatest common factor 45981 and 46001 is 1.

Also check out the Least Common Multiple of 45981 and 46001