What is the Greatest Common Factor of 35094 and 35109?

Greatest common factor (GCF) of 35094 and 35109 is 3.

GCF(35094,35109) = 3

We will now calculate the prime factors of 35094 and 35109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35094 and 35109.

How to find the GCF of 35094 and 35109?

We will first find the prime factorization of 35094 and 35109. After we will calculate the factors of 35094 and 35109 and find the biggest common factor number .

Step-1: Prime Factorization of 35094

Prime factors of 35094 are 2, 3, 5849. Prime factorization of 35094 in exponential form is:

35094 = 2¹ × 3¹ × 5849¹

Step-2: 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-3: Factors of 35094

List of positive integer factors of 35094 that divides 35094 without a remainder.

1, 2, 3, 6, 5849, 11698, 17547

Step-4: Factors of 35109

List of positive integer factors of 35109 that divides 35094 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35094 and 35109. The biggest common factor number is the GCF number.
So the greatest common factor 35094 and 35109 is 3.

Also check out the Least Common Multiple of 35094 and 35109