What is the Greatest Common Factor of 61854 and 61870?

Greatest common factor (GCF) of 61854 and 61870 is 2.

GCF(61854,61870) = 2

We will now calculate the prime factors of 61854 and 61870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61854 and 61870.

How to find the GCF of 61854 and 61870?

We will first find the prime factorization of 61854 and 61870. After we will calculate the factors of 61854 and 61870 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 61870

Prime factors of 61870 are 2, 5, 23, 269. Prime factorization of 61870 in exponential form is:

61870 = 2¹ × 5¹ × 23¹ × 269¹

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 61870

List of positive integer factors of 61870 that divides 61854 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230, 269, 538, 1345, 2690, 6187, 12374, 30935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61854 and 61870. The biggest common factor number is the GCF number.
So the greatest common factor 61854 and 61870 is 2.

Also check out the Least Common Multiple of 61854 and 61870