What is the Greatest Common Factor of 45380 and 45386?

Greatest common factor (GCF) of 45380 and 45386 is 2.

GCF(45380,45386) = 2

We will now calculate the prime factors of 45380 and 45386, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45380 and 45386.

How to find the GCF of 45380 and 45386?

We will first find the prime factorization of 45380 and 45386. After we will calculate the factors of 45380 and 45386 and find the biggest common factor number .

Step-1: Prime Factorization of 45380

Prime factors of 45380 are 2, 5, 2269. Prime factorization of 45380 in exponential form is:

45380 = 2² × 5¹ × 2269¹

Step-2: Prime Factorization of 45386

Prime factors of 45386 are 2, 11, 2063. Prime factorization of 45386 in exponential form is:

45386 = 2¹ × 11¹ × 2063¹

Step-3: Factors of 45380

List of positive integer factors of 45380 that divides 45380 without a remainder.

1, 2, 4, 5, 10, 20, 2269, 4538, 9076, 11345, 22690

Step-4: Factors of 45386

List of positive integer factors of 45386 that divides 45380 without a remainder.

1, 2, 11, 22, 2063, 4126, 22693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45380 and 45386. The biggest common factor number is the GCF number.
So the greatest common factor 45380 and 45386 is 2.

Also check out the Least Common Multiple of 45380 and 45386