What is the Greatest Common Factor of 34992 and 35010?

Greatest common factor (GCF) of 34992 and 35010 is 18.

GCF(34992,35010) = 18

We will now calculate the prime factors of 34992 and 35010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34992 and 35010.

How to find the GCF of 34992 and 35010?

We will first find the prime factorization of 34992 and 35010. After we will calculate the factors of 34992 and 35010 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 35010

Prime factors of 35010 are 2, 3, 5, 389. Prime factorization of 35010 in exponential form is:

35010 = 2¹ × 3² × 5¹ × 389¹

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 35010

List of positive integer factors of 35010 that divides 34992 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 389, 778, 1167, 1945, 2334, 3501, 3890, 5835, 7002, 11670, 17505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34992 and 35010. The biggest common factor number is the GCF number.
So the greatest common factor 34992 and 35010 is 18.

Also check out the Least Common Multiple of 34992 and 35010