What is the Greatest Common Factor of 46090 and 46105?

Greatest common factor (GCF) of 46090 and 46105 is 5.

GCF(46090,46105) = 5

We will now calculate the prime factors of 46090 and 46105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46090 and 46105.

How to find the GCF of 46090 and 46105?

We will first find the prime factorization of 46090 and 46105. After we will calculate the factors of 46090 and 46105 and find the biggest common factor number .

Step-1: Prime Factorization of 46090

Prime factors of 46090 are 2, 5, 11, 419. Prime factorization of 46090 in exponential form is:

46090 = 2¹ × 5¹ × 11¹ × 419¹

Step-2: Prime Factorization of 46105

Prime factors of 46105 are 5, 9221. Prime factorization of 46105 in exponential form is:

46105 = 5¹ × 9221¹

Step-3: Factors of 46090

List of positive integer factors of 46090 that divides 46090 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 419, 838, 2095, 4190, 4609, 9218, 23045

Step-4: Factors of 46105

List of positive integer factors of 46105 that divides 46090 without a remainder.

1, 5, 9221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46090 and 46105. The biggest common factor number is the GCF number.
So the greatest common factor 46090 and 46105 is 5.

Also check out the Least Common Multiple of 46090 and 46105