What is the Greatest Common Factor of 46072 and 46076?

Greatest common factor (GCF) of 46072 and 46076 is 4.

GCF(46072,46076) = 4

We will now calculate the prime factors of 46072 and 46076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46072 and 46076.

How to find the GCF of 46072 and 46076?

We will first find the prime factorization of 46072 and 46076. After we will calculate the factors of 46072 and 46076 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 46076

Prime factors of 46076 are 2, 11519. Prime factorization of 46076 in exponential form is:

46076 = 2² × 11519¹

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 46076

List of positive integer factors of 46076 that divides 46072 without a remainder.

1, 2, 4, 11519, 23038

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46072 and 46076. The biggest common factor number is the GCF number.
So the greatest common factor 46072 and 46076 is 4.

Also check out the Least Common Multiple of 46072 and 46076