What is the Greatest Common Factor of 45380 and 45390?

Greatest common factor (GCF) of 45380 and 45390 is 10.

GCF(45380,45390) = 10

We will now calculate the prime factors of 45380 and 45390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45380 and 45390.

How to find the GCF of 45380 and 45390?

We will first find the prime factorization of 45380 and 45390. After we will calculate the factors of 45380 and 45390 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 45390

Prime factors of 45390 are 2, 3, 5, 17, 89. Prime factorization of 45390 in exponential form is:

45390 = 2¹ × 3¹ × 5¹ × 17¹ × 89¹

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 45390

List of positive integer factors of 45390 that divides 45380 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 89, 102, 170, 178, 255, 267, 445, 510, 534, 890, 1335, 1513, 2670, 3026, 4539, 7565, 9078, 15130, 22695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45380 and 45390. The biggest common factor number is the GCF number.
So the greatest common factor 45380 and 45390 is 10.

Also check out the Least Common Multiple of 45380 and 45390