What is the Greatest Common Factor of 35973 and 35988?

Greatest common factor (GCF) of 35973 and 35988 is 3.

GCF(35973,35988) = 3

We will now calculate the prime factors of 35973 and 35988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35973 and 35988.

How to find the GCF of 35973 and 35988?

We will first find the prime factorization of 35973 and 35988. After we will calculate the factors of 35973 and 35988 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 35988

Prime factors of 35988 are 2, 3, 2999. Prime factorization of 35988 in exponential form is:

35988 = 2² × 3¹ × 2999¹

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 35988

List of positive integer factors of 35988 that divides 35973 without a remainder.

1, 2, 3, 4, 6, 12, 2999, 5998, 8997, 11996, 17994

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35973 and 35988. The biggest common factor number is the GCF number.
So the greatest common factor 35973 and 35988 is 3.

Also check out the Least Common Multiple of 35973 and 35988