What is the Greatest Common Factor of 35048 and 35061?

Greatest common factor (GCF) of 35048 and 35061 is 13.

GCF(35048,35061) = 13

We will now calculate the prime factors of 35048 and 35061, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35048 and 35061.

How to find the GCF of 35048 and 35061?

We will first find the prime factorization of 35048 and 35061. After we will calculate the factors of 35048 and 35061 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 35061

Prime factors of 35061 are 3, 13, 29, 31. Prime factorization of 35061 in exponential form is:

35061 = 3¹ × 13¹ × 29¹ × 31¹

Step-3: Factors of 35048

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

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

Step-4: Factors of 35061

List of positive integer factors of 35061 that divides 35048 without a remainder.

1, 3, 13, 29, 31, 39, 87, 93, 377, 403, 899, 1131, 1209, 2697, 11687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35048 and 35061. The biggest common factor number is the GCF number.
So the greatest common factor 35048 and 35061 is 13.

Also check out the Least Common Multiple of 35048 and 35061