What is the Greatest Common Factor of 35098 and 35103?

Greatest common factor (GCF) of 35098 and 35103 is 1.

GCF(35098,35103) = 1

We will now calculate the prime factors of 35098 and 35103, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35098 and 35103.

How to find the GCF of 35098 and 35103?

We will first find the prime factorization of 35098 and 35103. After we will calculate the factors of 35098 and 35103 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 35103

Prime factors of 35103 are 3, 11701. Prime factorization of 35103 in exponential form is:

35103 = 3¹ × 11701¹

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 35103

List of positive integer factors of 35103 that divides 35098 without a remainder.

1, 3, 11701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35098 and 35103. The biggest common factor number is the GCF number.
So the greatest common factor 35098 and 35103 is 1.

Also check out the Least Common Multiple of 35098 and 35103