What is the Greatest Common Factor of 35976 and 35983?

Greatest common factor (GCF) of 35976 and 35983 is 1.

GCF(35976,35983) = 1

We will now calculate the prime factors of 35976 and 35983, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35976 and 35983.

How to find the GCF of 35976 and 35983?

We will first find the prime factorization of 35976 and 35983. After we will calculate the factors of 35976 and 35983 and find the biggest common factor number .

Step-1: Prime Factorization of 35976

Prime factors of 35976 are 2, 3, 1499. Prime factorization of 35976 in exponential form is:

35976 = 2³ × 3¹ × 1499¹

Step-2: Prime Factorization of 35983

Prime factors of 35983 are 35983. Prime factorization of 35983 in exponential form is:

35983 = 35983¹

Step-3: Factors of 35976

List of positive integer factors of 35976 that divides 35976 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1499, 2998, 4497, 5996, 8994, 11992, 17988

Step-4: Factors of 35983

List of positive integer factors of 35983 that divides 35976 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35976 and 35983. The biggest common factor number is the GCF number.
So the greatest common factor 35976 and 35983 is 1.

Also check out the Least Common Multiple of 35976 and 35983