What is the Greatest Common Factor of 9035 and 9049?

Greatest common factor (GCF) of 9035 and 9049 is 1.

GCF(9035,9049) = 1

We will now calculate the prime factors of 9035 and 9049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9035 and 9049.

How to find the GCF of 9035 and 9049?

We will first find the prime factorization of 9035 and 9049. After we will calculate the factors of 9035 and 9049 and find the biggest common factor number .

Step-1: Prime Factorization of 9035

Prime factors of 9035 are 5, 13, 139. Prime factorization of 9035 in exponential form is:

9035 = 5¹ × 13¹ × 139¹

Step-2: Prime Factorization of 9049

Prime factors of 9049 are 9049. Prime factorization of 9049 in exponential form is:

9049 = 9049¹

Step-3: Factors of 9035

List of positive integer factors of 9035 that divides 9035 without a remainder.

1, 5, 13, 65, 139, 695, 1807

Step-4: Factors of 9049

List of positive integer factors of 9049 that divides 9035 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9035 and 9049. The biggest common factor number is the GCF number.
So the greatest common factor 9035 and 9049 is 1.

Also check out the Least Common Multiple of 9035 and 9049