What is the Greatest Common Factor of 35052 and 35058?

Greatest common factor (GCF) of 35052 and 35058 is 6.

GCF(35052,35058) = 6

We will now calculate the prime factors of 35052 and 35058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35052 and 35058.

How to find the GCF of 35052 and 35058?

We will first find the prime factorization of 35052 and 35058. After we will calculate the factors of 35052 and 35058 and find the biggest common factor number .

Step-1: Prime Factorization of 35052

Prime factors of 35052 are 2, 3, 23, 127. Prime factorization of 35052 in exponential form is:

35052 = 2² × 3¹ × 23¹ × 127¹

Step-2: Prime Factorization of 35058

Prime factors of 35058 are 2, 3, 5843. Prime factorization of 35058 in exponential form is:

35058 = 2¹ × 3¹ × 5843¹

Step-3: Factors of 35052

List of positive integer factors of 35052 that divides 35052 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 127, 138, 254, 276, 381, 508, 762, 1524, 2921, 5842, 8763, 11684, 17526

Step-4: Factors of 35058

List of positive integer factors of 35058 that divides 35052 without a remainder.

1, 2, 3, 6, 5843, 11686, 17529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35052 and 35058. The biggest common factor number is the GCF number.
So the greatest common factor 35052 and 35058 is 6.

Also check out the Least Common Multiple of 35052 and 35058