What is the Greatest Common Factor of 61722 and 61732?

Greatest common factor (GCF) of 61722 and 61732 is 2.

GCF(61722,61732) = 2

We will now calculate the prime factors of 61722 and 61732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61722 and 61732.

How to find the GCF of 61722 and 61732?

We will first find the prime factorization of 61722 and 61732. After we will calculate the factors of 61722 and 61732 and find the biggest common factor number .

Step-1: Prime Factorization of 61722

Prime factors of 61722 are 2, 3, 127. Prime factorization of 61722 in exponential form is:

61722 = 2¹ × 3⁵ × 127¹

Step-2: Prime Factorization of 61732

Prime factors of 61732 are 2, 11, 23, 61. Prime factorization of 61732 in exponential form is:

61732 = 2² × 11¹ × 23¹ × 61¹

Step-3: Factors of 61722

List of positive integer factors of 61722 that divides 61722 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 127, 162, 243, 254, 381, 486, 762, 1143, 2286, 3429, 6858, 10287, 20574, 30861

Step-4: Factors of 61732

List of positive integer factors of 61732 that divides 61722 without a remainder.

1, 2, 4, 11, 22, 23, 44, 46, 61, 92, 122, 244, 253, 506, 671, 1012, 1342, 1403, 2684, 2806, 5612, 15433, 30866

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61722 and 61732. The biggest common factor number is the GCF number.
So the greatest common factor 61722 and 61732 is 2.

Also check out the Least Common Multiple of 61722 and 61732