What is the Greatest Common Factor of 35973 and 35991?

Greatest common factor (GCF) of 35973 and 35991 is 9.

GCF(35973,35991) = 9

We will now calculate the prime factors of 35973 and 35991, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35973 and 35991.

How to find the GCF of 35973 and 35991?

We will first find the prime factorization of 35973 and 35991. After we will calculate the factors of 35973 and 35991 and find the biggest common factor number .

Step-1: Prime Factorization of 35973

Prime factors of 35973 are 3, 7, 571. Prime factorization of 35973 in exponential form is:

35973 = 3² × 7¹ × 571¹

Step-2: 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-3: Factors of 35973

List of positive integer factors of 35973 that divides 35973 without a remainder.

1, 3, 7, 9, 21, 63, 571, 1713, 3997, 5139, 11991

Step-4: Factors of 35991

List of positive integer factors of 35991 that divides 35973 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35973 and 35991. The biggest common factor number is the GCF number.
So the greatest common factor 35973 and 35991 is 9.

Also check out the Least Common Multiple of 35973 and 35991