What is the Greatest Common Factor of 61854 and 61868?

Greatest common factor (GCF) of 61854 and 61868 is 2.

GCF(61854,61868) = 2

We will now calculate the prime factors of 61854 and 61868, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61854 and 61868.

How to find the GCF of 61854 and 61868?

We will first find the prime factorization of 61854 and 61868. After we will calculate the factors of 61854 and 61868 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61868

Prime factors of 61868 are 2, 15467. Prime factorization of 61868 in exponential form is:

61868 = 2² × 15467¹

Step-3: Factors of 61854

List of positive integer factors of 61854 that divides 61854 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

Step-4: Factors of 61868

List of positive integer factors of 61868 that divides 61854 without a remainder.

1, 2, 4, 15467, 30934

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61854 and 61868. The biggest common factor number is the GCF number.
So the greatest common factor 61854 and 61868 is 2.

Also check out the Least Common Multiple of 61854 and 61868