What is the Greatest Common Factor of 35979 and 35988?

Greatest common factor (GCF) of 35979 and 35988 is 3.

GCF(35979,35988) = 3

We will now calculate the prime factors of 35979 and 35988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35979 and 35988.

How to find the GCF of 35979 and 35988?

We will first find the prime factorization of 35979 and 35988. After we will calculate the factors of 35979 and 35988 and find the biggest common factor number .

Step-1: Prime Factorization of 35979

Prime factors of 35979 are 3, 67, 179. Prime factorization of 35979 in exponential form is:

35979 = 3¹ × 67¹ × 179¹

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 35979

List of positive integer factors of 35979 that divides 35979 without a remainder.

1, 3, 67, 179, 201, 537, 11993

Step-4: Factors of 35988

List of positive integer factors of 35988 that divides 35979 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 35979 and 35988. The biggest common factor number is the GCF number.
So the greatest common factor 35979 and 35988 is 3.

Also check out the Least Common Multiple of 35979 and 35988