What is the Greatest Common Factor of 95981 and 95990?

Greatest common factor (GCF) of 95981 and 95990 is 1.

GCF(95981,95990) = 1

We will now calculate the prime factors of 95981 and 95990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95981 and 95990.

How to find the GCF of 95981 and 95990?

We will first find the prime factorization of 95981 and 95990. After we will calculate the factors of 95981 and 95990 and find the biggest common factor number .

Step-1: Prime Factorization of 95981

Prime factors of 95981 are 41, 2341. Prime factorization of 95981 in exponential form is:

95981 = 41¹ × 2341¹

Step-2: Prime Factorization of 95990

Prime factors of 95990 are 2, 5, 29, 331. Prime factorization of 95990 in exponential form is:

95990 = 2¹ × 5¹ × 29¹ × 331¹

Step-3: Factors of 95981

List of positive integer factors of 95981 that divides 95981 without a remainder.

1, 41, 2341

Step-4: Factors of 95990

List of positive integer factors of 95990 that divides 95981 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290, 331, 662, 1655, 3310, 9599, 19198, 47995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95981 and 95990. The biggest common factor number is the GCF number.
So the greatest common factor 95981 and 95990 is 1.

Also check out the Least Common Multiple of 95981 and 95990