What is the Greatest Common Factor of 35149 and 35156?

Greatest common factor (GCF) of 35149 and 35156 is 1.

GCF(35149,35156) = 1

We will now calculate the prime factors of 35149 and 35156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35149 and 35156.

How to find the GCF of 35149 and 35156?

We will first find the prime factorization of 35149 and 35156. After we will calculate the factors of 35149 and 35156 and find the biggest common factor number .

Step-1: Prime Factorization of 35149

Prime factors of 35149 are 35149. Prime factorization of 35149 in exponential form is:

35149 = 35149¹

Step-2: Prime Factorization of 35156

Prime factors of 35156 are 2, 11, 17, 47. Prime factorization of 35156 in exponential form is:

35156 = 2² × 11¹ × 17¹ × 47¹

Step-3: Factors of 35149

List of positive integer factors of 35149 that divides 35149 without a remainder.

Step-4: Factors of 35156

List of positive integer factors of 35156 that divides 35149 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 47, 68, 94, 187, 188, 374, 517, 748, 799, 1034, 1598, 2068, 3196, 8789, 17578

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35149 and 35156. The biggest common factor number is the GCF number.
So the greatest common factor 35149 and 35156 is 1.

Also check out the Least Common Multiple of 35149 and 35156