What is the Greatest Common Factor of 35035 and 35048?

Greatest common factor (GCF) of 35035 and 35048 is 13.

GCF(35035,35048) = 13

We will now calculate the prime factors of 35035 and 35048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35035 and 35048.

How to find the GCF of 35035 and 35048?

We will first find the prime factorization of 35035 and 35048. After we will calculate the factors of 35035 and 35048 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 35048

Prime factors of 35048 are 2, 13, 337. Prime factorization of 35048 in exponential form is:

35048 = 2³ × 13¹ × 337¹

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 35048

List of positive integer factors of 35048 that divides 35035 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 337, 674, 1348, 2696, 4381, 8762, 17524

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35035 and 35048. The biggest common factor number is the GCF number.
So the greatest common factor 35035 and 35048 is 13.

Also check out the Least Common Multiple of 35035 and 35048