What is the Greatest Common Factor of 61842 and 61854?

Greatest common factor (GCF) of 61842 and 61854 is 6.

GCF(61842,61854) = 6

We will now calculate the prime factors of 61842 and 61854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61842 and 61854.

How to find the GCF of 61842 and 61854?

We will first find the prime factorization of 61842 and 61854. After we will calculate the factors of 61842 and 61854 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61854

Prime factors of 61854 are 2, 3, 13, 61. Prime factorization of 61854 in exponential form is:

61854 = 2¹ × 3¹ × 13² × 61¹

Step-3: Factors of 61842

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

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

Step-4: Factors of 61854

List of positive integer factors of 61854 that divides 61842 without a remainder.

1, 2, 3, 6, 13, 26, 39, 61, 78, 122, 169, 183, 338, 366, 507, 793, 1014, 1586, 2379, 4758, 10309, 20618, 30927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61842 and 61854. The biggest common factor number is the GCF number.
So the greatest common factor 61842 and 61854 is 6.

Also check out the Least Common Multiple of 61842 and 61854