What is the Greatest Common Factor of 46772 and 46783?

Greatest common factor (GCF) of 46772 and 46783 is 11.

GCF(46772,46783) = 11

We will now calculate the prime factors of 46772 and 46783, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46772 and 46783.

How to find the GCF of 46772 and 46783?

We will first find the prime factorization of 46772 and 46783. After we will calculate the factors of 46772 and 46783 and find the biggest common factor number .

Step-1: Prime Factorization of 46772

Prime factors of 46772 are 2, 11, 1063. Prime factorization of 46772 in exponential form is:

46772 = 2² × 11¹ × 1063¹

Step-2: Prime Factorization of 46783

Prime factors of 46783 are 11, 4253. Prime factorization of 46783 in exponential form is:

46783 = 11¹ × 4253¹

Step-3: Factors of 46772

List of positive integer factors of 46772 that divides 46772 without a remainder.

1, 2, 4, 11, 22, 44, 1063, 2126, 4252, 11693, 23386

Step-4: Factors of 46783

List of positive integer factors of 46783 that divides 46772 without a remainder.

1, 11, 4253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46772 and 46783. The biggest common factor number is the GCF number.
So the greatest common factor 46772 and 46783 is 11.

Also check out the Least Common Multiple of 46772 and 46783