What is the Greatest Common Factor of 34992 and 35012?

Greatest common factor (GCF) of 34992 and 35012 is 4.

GCF(34992,35012) = 4

We will now calculate the prime factors of 34992 and 35012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34992 and 35012.

How to find the GCF of 34992 and 35012?

We will first find the prime factorization of 34992 and 35012. After we will calculate the factors of 34992 and 35012 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 35012

Prime factors of 35012 are 2, 8753. Prime factorization of 35012 in exponential form is:

35012 = 2² × 8753¹

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 35012

List of positive integer factors of 35012 that divides 34992 without a remainder.

1, 2, 4, 8753, 17506

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34992 and 35012. The biggest common factor number is the GCF number.
So the greatest common factor 34992 and 35012 is 4.

Also check out the Least Common Multiple of 34992 and 35012