What is the Greatest Common Factor of 35098 and 35104?

Greatest common factor (GCF) of 35098 and 35104 is 2.

GCF(35098,35104) = 2

We will now calculate the prime factors of 35098 and 35104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35098 and 35104.

How to find the GCF of 35098 and 35104?

We will first find the prime factorization of 35098 and 35104. After we will calculate the factors of 35098 and 35104 and find the biggest common factor number .

Step-1: Prime Factorization of 35098

Prime factors of 35098 are 2, 7, 23, 109. Prime factorization of 35098 in exponential form is:

35098 = 2¹ × 7¹ × 23¹ × 109¹

Step-2: Prime Factorization of 35104

Prime factors of 35104 are 2, 1097. Prime factorization of 35104 in exponential form is:

35104 = 2⁵ × 1097¹

Step-3: Factors of 35098

List of positive integer factors of 35098 that divides 35098 without a remainder.

1, 2, 7, 14, 23, 46, 109, 161, 218, 322, 763, 1526, 2507, 5014, 17549

Step-4: Factors of 35104

List of positive integer factors of 35104 that divides 35098 without a remainder.

1, 2, 4, 8, 16, 32, 1097, 2194, 4388, 8776, 17552

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35098 and 35104. The biggest common factor number is the GCF number.
So the greatest common factor 35098 and 35104 is 2.

Also check out the Least Common Multiple of 35098 and 35104