What is the Greatest Common Factor of 45034 and 45045?

Greatest common factor (GCF) of 45034 and 45045 is 11.

GCF(45034,45045) = 11

We will now calculate the prime factors of 45034 and 45045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45034 and 45045.

How to find the GCF of 45034 and 45045?

We will first find the prime factorization of 45034 and 45045. After we will calculate the factors of 45034 and 45045 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 45045

Prime factors of 45045 are 3, 5, 7, 11, 13. Prime factorization of 45045 in exponential form is:

45045 = 3² × 5¹ × 7¹ × 11¹ × 13¹

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 45045

List of positive integer factors of 45045 that divides 45034 without a remainder.

1, 3, 5, 7, 9, 11, 13, 15, 21, 33, 35, 39, 45, 55, 63, 65, 77, 91, 99, 105, 117, 143, 165, 195, 231, 273, 315, 385, 429, 455, 495, 585, 693, 715, 819, 1001, 1155, 1287, 1365, 2145, 3003, 3465, 4095, 5005, 6435, 9009, 15015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45034 and 45045. The biggest common factor number is the GCF number.
So the greatest common factor 45034 and 45045 is 11.

Also check out the Least Common Multiple of 45034 and 45045