What is the Greatest Common Factor of 35098 and 35107?

Greatest common factor (GCF) of 35098 and 35107 is 1.

GCF(35098,35107) = 1

We will now calculate the prime factors of 35098 and 35107, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35098 and 35107.

How to find the GCF of 35098 and 35107?

We will first find the prime factorization of 35098 and 35107. After we will calculate the factors of 35098 and 35107 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 35107

Prime factors of 35107 are 35107. Prime factorization of 35107 in exponential form is:

35107 = 35107¹

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 35107

List of positive integer factors of 35107 that divides 35098 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35098 and 35107. The biggest common factor number is the GCF number.
So the greatest common factor 35098 and 35107 is 1.

Also check out the Least Common Multiple of 35098 and 35107