What is the Greatest Common Factor of 61792 and 61812?

Greatest common factor (GCF) of 61792 and 61812 is 4.

GCF(61792,61812) = 4

We will now calculate the prime factors of 61792 and 61812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61792 and 61812.

How to find the GCF of 61792 and 61812?

We will first find the prime factorization of 61792 and 61812. After we will calculate the factors of 61792 and 61812 and find the biggest common factor number .

Step-1: Prime Factorization of 61792

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

61792 = 2⁵ × 1931¹

Step-2: Prime Factorization of 61812

Prime factors of 61812 are 2, 3, 17, 101. Prime factorization of 61812 in exponential form is:

61812 = 2² × 3² × 17¹ × 101¹

Step-3: Factors of 61792

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

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

Step-4: Factors of 61812

List of positive integer factors of 61812 that divides 61792 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 101, 102, 153, 202, 204, 303, 306, 404, 606, 612, 909, 1212, 1717, 1818, 3434, 3636, 5151, 6868, 10302, 15453, 20604, 30906

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61792 and 61812. The biggest common factor number is the GCF number.
So the greatest common factor 61792 and 61812 is 4.

Also check out the Least Common Multiple of 61792 and 61812