What is the Greatest Common Factor of 35107 and 35113?

Greatest common factor (GCF) of 35107 and 35113 is 1.

GCF(35107,35113) = 1

We will now calculate the prime factors of 35107 and 35113, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35107 and 35113.

How to find the GCF of 35107 and 35113?

We will first find the prime factorization of 35107 and 35113. After we will calculate the factors of 35107 and 35113 and find the biggest common factor number .

Step-1: Prime Factorization of 35107

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

35107 = 35107¹

Step-2: Prime Factorization of 35113

Prime factors of 35113 are 13, 37, 73. Prime factorization of 35113 in exponential form is:

35113 = 13¹ × 37¹ × 73¹

Step-3: Factors of 35107

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

Step-4: Factors of 35113

List of positive integer factors of 35113 that divides 35107 without a remainder.

1, 13, 37, 73, 481, 949, 2701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35107 and 35113. The biggest common factor number is the GCF number.
So the greatest common factor 35107 and 35113 is 1.

Also check out the Least Common Multiple of 35107 and 35113