What is the Greatest Common Factor of 35278 and 35296?

Greatest common factor (GCF) of 35278 and 35296 is 2.

GCF(35278,35296) = 2

We will now calculate the prime factors of 35278 and 35296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35278 and 35296.

How to find the GCF of 35278 and 35296?

We will first find the prime factorization of 35278 and 35296. After we will calculate the factors of 35278 and 35296 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 35296

Prime factors of 35296 are 2, 1103. Prime factorization of 35296 in exponential form is:

35296 = 2⁵ × 1103¹

Step-3: Factors of 35278

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

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

Step-4: Factors of 35296

List of positive integer factors of 35296 that divides 35278 without a remainder.

1, 2, 4, 8, 16, 32, 1103, 2206, 4412, 8824, 17648

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35278 and 35296. The biggest common factor number is the GCF number.
So the greatest common factor 35278 and 35296 is 2.

Also check out the Least Common Multiple of 35278 and 35296