What is the Greatest Common Factor of 35976 and 35985?

Greatest common factor (GCF) of 35976 and 35985 is 3.

GCF(35976,35985) = 3

We will now calculate the prime factors of 35976 and 35985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35976 and 35985.

How to find the GCF of 35976 and 35985?

We will first find the prime factorization of 35976 and 35985. After we will calculate the factors of 35976 and 35985 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 35985

Prime factors of 35985 are 3, 5, 2399. Prime factorization of 35985 in exponential form is:

35985 = 3¹ × 5¹ × 2399¹

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 35985

List of positive integer factors of 35985 that divides 35976 without a remainder.

1, 3, 5, 15, 2399, 7197, 11995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35976 and 35985. The biggest common factor number is the GCF number.
So the greatest common factor 35976 and 35985 is 3.

Also check out the Least Common Multiple of 35976 and 35985