What is the Greatest Common Factor of 34025 and 34038?

Greatest common factor (GCF) of 34025 and 34038 is 1.

GCF(34025,34038) = 1

We will now calculate the prime factors of 34025 and 34038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34025 and 34038.

How to find the GCF of 34025 and 34038?

We will first find the prime factorization of 34025 and 34038. After we will calculate the factors of 34025 and 34038 and find the biggest common factor number .

Step-1: Prime Factorization of 34025

Prime factors of 34025 are 5, 1361. Prime factorization of 34025 in exponential form is:

34025 = 5² × 1361¹

Step-2: Prime Factorization of 34038

Prime factors of 34038 are 2, 3, 31, 61. Prime factorization of 34038 in exponential form is:

34038 = 2¹ × 3² × 31¹ × 61¹

Step-3: Factors of 34025

List of positive integer factors of 34025 that divides 34025 without a remainder.

1, 5, 25, 1361, 6805

Step-4: Factors of 34038

List of positive integer factors of 34038 that divides 34025 without a remainder.

1, 2, 3, 6, 9, 18, 31, 61, 62, 93, 122, 183, 186, 279, 366, 549, 558, 1098, 1891, 3782, 5673, 11346, 17019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34025 and 34038. The biggest common factor number is the GCF number.
So the greatest common factor 34025 and 34038 is 1.

Also check out the Least Common Multiple of 34025 and 34038