What is the Greatest Common Factor of 35991 and 35998?

Greatest common factor (GCF) of 35991 and 35998 is 1.

GCF(35991,35998) = 1

We will now calculate the prime factors of 35991 and 35998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35991 and 35998.

How to find the GCF of 35991 and 35998?

We will first find the prime factorization of 35991 and 35998. After we will calculate the factors of 35991 and 35998 and find the biggest common factor number .

Step-1: Prime Factorization of 35991

Prime factors of 35991 are 3, 31, 43. Prime factorization of 35991 in exponential form is:

35991 = 3³ × 31¹ × 43¹

Step-2: Prime Factorization of 35998

Prime factors of 35998 are 2, 41, 439. Prime factorization of 35998 in exponential form is:

35998 = 2¹ × 41¹ × 439¹

Step-3: Factors of 35991

List of positive integer factors of 35991 that divides 35991 without a remainder.

1, 3, 9, 27, 31, 43, 93, 129, 279, 387, 837, 1161, 1333, 3999, 11997

Step-4: Factors of 35998

List of positive integer factors of 35998 that divides 35991 without a remainder.

1, 2, 41, 82, 439, 878, 17999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35991 and 35998. The biggest common factor number is the GCF number.
So the greatest common factor 35991 and 35998 is 1.

Also check out the Least Common Multiple of 35991 and 35998