What is the Greatest Common Factor of 35074 and 35093?

Greatest common factor (GCF) of 35074 and 35093 is 19.

GCF(35074,35093) = 19

We will now calculate the prime factors of 35074 and 35093, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35074 and 35093.

How to find the GCF of 35074 and 35093?

We will first find the prime factorization of 35074 and 35093. After we will calculate the factors of 35074 and 35093 and find the biggest common factor number .

Step-1: Prime Factorization of 35074

Prime factors of 35074 are 2, 13, 19, 71. Prime factorization of 35074 in exponential form is:

35074 = 2¹ × 13¹ × 19¹ × 71¹

Step-2: Prime Factorization of 35093

Prime factors of 35093 are 19, 1847. Prime factorization of 35093 in exponential form is:

35093 = 19¹ × 1847¹

Step-3: Factors of 35074

List of positive integer factors of 35074 that divides 35074 without a remainder.

1, 2, 13, 19, 26, 38, 71, 142, 247, 494, 923, 1349, 1846, 2698, 17537

Step-4: Factors of 35093

List of positive integer factors of 35093 that divides 35074 without a remainder.

1, 19, 1847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35074 and 35093. The biggest common factor number is the GCF number.
So the greatest common factor 35074 and 35093 is 19.

Also check out the Least Common Multiple of 35074 and 35093