What is the Greatest Common Factor of 45034 and 45038?

Greatest common factor (GCF) of 45034 and 45038 is 2.

GCF(45034,45038) = 2

We will now calculate the prime factors of 45034 and 45038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45034 and 45038.

How to find the GCF of 45034 and 45038?

We will first find the prime factorization of 45034 and 45038. After we will calculate the factors of 45034 and 45038 and find the biggest common factor number .

Step-1: Prime Factorization of 45034

Prime factors of 45034 are 2, 11, 23, 89. Prime factorization of 45034 in exponential form is:

45034 = 2¹ × 11¹ × 23¹ × 89¹

Step-2: Prime Factorization of 45038

Prime factors of 45038 are 2, 7, 3217. Prime factorization of 45038 in exponential form is:

45038 = 2¹ × 7¹ × 3217¹

Step-3: Factors of 45034

List of positive integer factors of 45034 that divides 45034 without a remainder.

1, 2, 11, 22, 23, 46, 89, 178, 253, 506, 979, 1958, 2047, 4094, 22517

Step-4: Factors of 45038

List of positive integer factors of 45038 that divides 45034 without a remainder.

1, 2, 7, 14, 3217, 6434, 22519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45034 and 45038. The biggest common factor number is the GCF number.
So the greatest common factor 45034 and 45038 is 2.

Also check out the Least Common Multiple of 45034 and 45038