What is the Greatest Common Factor of 61772 and 61792?

Greatest common factor (GCF) of 61772 and 61792 is 4.

GCF(61772,61792) = 4

We will now calculate the prime factors of 61772 and 61792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61772 and 61792.

How to find the GCF of 61772 and 61792?

We will first find the prime factorization of 61772 and 61792. After we will calculate the factors of 61772 and 61792 and find the biggest common factor number .

Step-1: Prime Factorization of 61772

Prime factors of 61772 are 2, 15443. Prime factorization of 61772 in exponential form is:

61772 = 2² × 15443¹

Step-2: Prime Factorization of 61792

Prime factors of 61792 are 2, 1931. Prime factorization of 61792 in exponential form is:

61792 = 2⁵ × 1931¹

Step-3: Factors of 61772

List of positive integer factors of 61772 that divides 61772 without a remainder.

1, 2, 4, 15443, 30886

Step-4: Factors of 61792

List of positive integer factors of 61792 that divides 61772 without a remainder.

1, 2, 4, 8, 16, 32, 1931, 3862, 7724, 15448, 30896

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61772 and 61792. The biggest common factor number is the GCF number.
So the greatest common factor 61772 and 61792 is 4.

Also check out the Least Common Multiple of 61772 and 61792