What is the Greatest Common Factor of 46072 and 46084?

Greatest common factor (GCF) of 46072 and 46084 is 4.

GCF(46072,46084) = 4

We will now calculate the prime factors of 46072 and 46084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46072 and 46084.

How to find the GCF of 46072 and 46084?

We will first find the prime factorization of 46072 and 46084. After we will calculate the factors of 46072 and 46084 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 46084

Prime factors of 46084 are 2, 41, 281. Prime factorization of 46084 in exponential form is:

46084 = 2² × 41¹ × 281¹

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 46084

List of positive integer factors of 46084 that divides 46072 without a remainder.

1, 2, 4, 41, 82, 164, 281, 562, 1124, 11521, 23042

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46072 and 46084. The biggest common factor number is the GCF number.
So the greatest common factor 46072 and 46084 is 4.

Also check out the Least Common Multiple of 46072 and 46084