What is the Greatest Common Factor of 35258 and 35278?

Greatest common factor (GCF) of 35258 and 35278 is 2.

GCF(35258,35278) = 2

We will now calculate the prime factors of 35258 and 35278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35258 and 35278.

How to find the GCF of 35258 and 35278?

We will first find the prime factorization of 35258 and 35278. After we will calculate the factors of 35258 and 35278 and find the biggest common factor number .

Step-1: Prime Factorization of 35258

Prime factors of 35258 are 2, 17, 61. Prime factorization of 35258 in exponential form is:

35258 = 2¹ × 17² × 61¹

Step-2: Prime Factorization of 35278

Prime factors of 35278 are 2, 31, 569. Prime factorization of 35278 in exponential form is:

35278 = 2¹ × 31¹ × 569¹

Step-3: Factors of 35258

List of positive integer factors of 35258 that divides 35258 without a remainder.

1, 2, 17, 34, 61, 122, 289, 578, 1037, 2074, 17629

Step-4: Factors of 35278

List of positive integer factors of 35278 that divides 35258 without a remainder.

1, 2, 31, 62, 569, 1138, 17639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35258 and 35278. The biggest common factor number is the GCF number.
So the greatest common factor 35258 and 35278 is 2.

Also check out the Least Common Multiple of 35258 and 35278