What is the Greatest Common Factor of 35109 and 35114?

Greatest common factor (GCF) of 35109 and 35114 is 1.

GCF(35109,35114) = 1

We will now calculate the prime factors of 35109 and 35114, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35109 and 35114.

How to find the GCF of 35109 and 35114?

We will first find the prime factorization of 35109 and 35114. After we will calculate the factors of 35109 and 35114 and find the biggest common factor number .

Step-1: Prime Factorization of 35109

Prime factors of 35109 are 3, 47, 83. Prime factorization of 35109 in exponential form is:

35109 = 3² × 47¹ × 83¹

Step-2: Prime Factorization of 35114

Prime factors of 35114 are 2, 97, 181. Prime factorization of 35114 in exponential form is:

35114 = 2¹ × 97¹ × 181¹

Step-3: Factors of 35109

List of positive integer factors of 35109 that divides 35109 without a remainder.

1, 3, 9, 47, 83, 141, 249, 423, 747, 3901, 11703

Step-4: Factors of 35114

List of positive integer factors of 35114 that divides 35109 without a remainder.

1, 2, 97, 181, 194, 362, 17557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35109 and 35114. The biggest common factor number is the GCF number.
So the greatest common factor 35109 and 35114 is 1.

Also check out the Least Common Multiple of 35109 and 35114