What is the Greatest Common Factor of 45860 and 45870?

Greatest common factor (GCF) of 45860 and 45870 is 10.

GCF(45860,45870) = 10

We will now calculate the prime factors of 45860 and 45870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45860 and 45870.

How to find the GCF of 45860 and 45870?

We will first find the prime factorization of 45860 and 45870. After we will calculate the factors of 45860 and 45870 and find the biggest common factor number .

Step-1: Prime Factorization of 45860

Prime factors of 45860 are 2, 5, 2293. Prime factorization of 45860 in exponential form is:

45860 = 2² × 5¹ × 2293¹

Step-2: Prime Factorization of 45870

Prime factors of 45870 are 2, 3, 5, 11, 139. Prime factorization of 45870 in exponential form is:

45870 = 2¹ × 3¹ × 5¹ × 11¹ × 139¹

Step-3: Factors of 45860

List of positive integer factors of 45860 that divides 45860 without a remainder.

1, 2, 4, 5, 10, 20, 2293, 4586, 9172, 11465, 22930

Step-4: Factors of 45870

List of positive integer factors of 45870 that divides 45860 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 139, 165, 278, 330, 417, 695, 834, 1390, 1529, 2085, 3058, 4170, 4587, 7645, 9174, 15290, 22935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45860 and 45870. The biggest common factor number is the GCF number.
So the greatest common factor 45860 and 45870 is 10.

Also check out the Least Common Multiple of 45860 and 45870