What is the Greatest Common Factor of 61831 and 61842?

Greatest common factor (GCF) of 61831 and 61842 is 11.

GCF(61831,61842) = 11

We will now calculate the prime factors of 61831 and 61842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61831 and 61842.

How to find the GCF of 61831 and 61842?

We will first find the prime factorization of 61831 and 61842. After we will calculate the factors of 61831 and 61842 and find the biggest common factor number .

Step-1: Prime Factorization of 61831

Prime factors of 61831 are 7, 11, 73. Prime factorization of 61831 in exponential form is:

61831 = 7¹ × 11² × 73¹

Step-2: Prime Factorization of 61842

Prime factors of 61842 are 2, 3, 11, 937. Prime factorization of 61842 in exponential form is:

61842 = 2¹ × 3¹ × 11¹ × 937¹

Step-3: Factors of 61831

List of positive integer factors of 61831 that divides 61831 without a remainder.

1, 7, 11, 73, 77, 121, 511, 803, 847, 5621, 8833

Step-4: Factors of 61842

List of positive integer factors of 61842 that divides 61831 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 937, 1874, 2811, 5622, 10307, 20614, 30921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61831 and 61842. The biggest common factor number is the GCF number.
So the greatest common factor 61831 and 61842 is 11.

Also check out the Least Common Multiple of 61831 and 61842