What is the Greatest Common Factor of 45032 and 45046?

Greatest common factor (GCF) of 45032 and 45046 is 2.

GCF(45032,45046) = 2

We will now calculate the prime factors of 45032 and 45046, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45032 and 45046.

How to find the GCF of 45032 and 45046?

We will first find the prime factorization of 45032 and 45046. After we will calculate the factors of 45032 and 45046 and find the biggest common factor number .

Step-1: Prime Factorization of 45032

Prime factors of 45032 are 2, 13, 433. Prime factorization of 45032 in exponential form is:

45032 = 2³ × 13¹ × 433¹

Step-2: Prime Factorization of 45046

Prime factors of 45046 are 2, 101, 223. Prime factorization of 45046 in exponential form is:

45046 = 2¹ × 101¹ × 223¹

Step-3: Factors of 45032

List of positive integer factors of 45032 that divides 45032 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 433, 866, 1732, 3464, 5629, 11258, 22516

Step-4: Factors of 45046

List of positive integer factors of 45046 that divides 45032 without a remainder.

1, 2, 101, 202, 223, 446, 22523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45032 and 45046. The biggest common factor number is the GCF number.
So the greatest common factor 45032 and 45046 is 2.

Also check out the Least Common Multiple of 45032 and 45046