What is the Greatest Common Factor of 34992 and 35004?

Greatest common factor (GCF) of 34992 and 35004 is 12.

GCF(34992,35004) = 12

We will now calculate the prime factors of 34992 and 35004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34992 and 35004.

How to find the GCF of 34992 and 35004?

We will first find the prime factorization of 34992 and 35004. After we will calculate the factors of 34992 and 35004 and find the biggest common factor number .

Step-1: Prime Factorization of 34992

Prime factors of 34992 are 2, 3. Prime factorization of 34992 in exponential form is:

34992 = 2⁴ × 3⁷

Step-2: Prime Factorization of 35004

Prime factors of 35004 are 2, 3, 2917. Prime factorization of 35004 in exponential form is:

35004 = 2² × 3¹ × 2917¹

Step-3: Factors of 34992

List of positive integer factors of 34992 that divides 34992 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 81, 108, 144, 162, 216, 243, 324, 432, 486, 648, 729, 972, 1296, 1458, 1944, 2187, 2916, 3888, 4374, 5832, 8748, 11664, 17496

Step-4: Factors of 35004

List of positive integer factors of 35004 that divides 34992 without a remainder.

1, 2, 3, 4, 6, 12, 2917, 5834, 8751, 11668, 17502

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34992 and 35004. The biggest common factor number is the GCF number.
So the greatest common factor 34992 and 35004 is 12.

Also check out the Least Common Multiple of 34992 and 35004