What is the Greatest Common Factor of 45890 and 45895?

Greatest common factor (GCF) of 45890 and 45895 is 5.

GCF(45890,45895) = 5

We will now calculate the prime factors of 45890 and 45895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45890 and 45895.

How to find the GCF of 45890 and 45895?

We will first find the prime factorization of 45890 and 45895. After we will calculate the factors of 45890 and 45895 and find the biggest common factor number .

Step-1: Prime Factorization of 45890

Prime factors of 45890 are 2, 5, 13, 353. Prime factorization of 45890 in exponential form is:

45890 = 2¹ × 5¹ × 13¹ × 353¹

Step-2: Prime Factorization of 45895

Prime factors of 45895 are 5, 67, 137. Prime factorization of 45895 in exponential form is:

45895 = 5¹ × 67¹ × 137¹

Step-3: Factors of 45890

List of positive integer factors of 45890 that divides 45890 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 353, 706, 1765, 3530, 4589, 9178, 22945

Step-4: Factors of 45895

List of positive integer factors of 45895 that divides 45890 without a remainder.

1, 5, 67, 137, 335, 685, 9179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45890 and 45895. The biggest common factor number is the GCF number.
So the greatest common factor 45890 and 45895 is 5.

Also check out the Least Common Multiple of 45890 and 45895