What is the Greatest Common Factor of 46072 and 46090?

Greatest common factor (GCF) of 46072 and 46090 is 2.

GCF(46072,46090) = 2

We will now calculate the prime factors of 46072 and 46090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46072 and 46090.

How to find the GCF of 46072 and 46090?

We will first find the prime factorization of 46072 and 46090. After we will calculate the factors of 46072 and 46090 and find the biggest common factor number .

Step-1: Prime Factorization of 46072

Prime factors of 46072 are 2, 13, 443. Prime factorization of 46072 in exponential form is:

46072 = 2³ × 13¹ × 443¹

Step-2: 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-3: Factors of 46072

List of positive integer factors of 46072 that divides 46072 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 443, 886, 1772, 3544, 5759, 11518, 23036

Step-4: Factors of 46090

List of positive integer factors of 46090 that divides 46072 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46072 and 46090. The biggest common factor number is the GCF number.
So the greatest common factor 46072 and 46090 is 2.

Also check out the Least Common Multiple of 46072 and 46090