What is the Greatest Common Factor of 45877 and 45890?

Greatest common factor (GCF) of 45877 and 45890 is 13.

GCF(45877,45890) = 13

We will now calculate the prime factors of 45877 and 45890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45877 and 45890.

How to find the GCF of 45877 and 45890?

We will first find the prime factorization of 45877 and 45890. After we will calculate the factors of 45877 and 45890 and find the biggest common factor number .

Step-1: Prime Factorization of 45877

Prime factors of 45877 are 13, 3529. Prime factorization of 45877 in exponential form is:

45877 = 13¹ × 3529¹

Step-2: 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-3: Factors of 45877

List of positive integer factors of 45877 that divides 45877 without a remainder.

1, 13, 3529

Step-4: Factors of 45890

List of positive integer factors of 45890 that divides 45877 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45877 and 45890. The biggest common factor number is the GCF number.
So the greatest common factor 45877 and 45890 is 13.

Also check out the Least Common Multiple of 45877 and 45890