What is the Greatest Common Factor of 35035 and 35051?

Greatest common factor (GCF) of 35035 and 35051 is 1.

GCF(35035,35051) = 1

We will now calculate the prime factors of 35035 and 35051, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35035 and 35051.

How to find the GCF of 35035 and 35051?

We will first find the prime factorization of 35035 and 35051. After we will calculate the factors of 35035 and 35051 and find the biggest common factor number .

Step-1: Prime Factorization of 35035

Prime factors of 35035 are 5, 7, 11, 13. Prime factorization of 35035 in exponential form is:

35035 = 5¹ × 7² × 11¹ × 13¹

Step-2: Prime Factorization of 35051

Prime factors of 35051 are 35051. Prime factorization of 35051 in exponential form is:

35051 = 35051¹

Step-3: Factors of 35035

List of positive integer factors of 35035 that divides 35035 without a remainder.

1, 5, 7, 11, 13, 35, 49, 55, 65, 77, 91, 143, 245, 385, 455, 539, 637, 715, 1001, 2695, 3185, 5005, 7007

Step-4: Factors of 35051

List of positive integer factors of 35051 that divides 35035 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35035 and 35051. The biggest common factor number is the GCF number.
So the greatest common factor 35035 and 35051 is 1.

Also check out the Least Common Multiple of 35035 and 35051