What is the Greatest Common Factor of 36846 and 36854?

Greatest common factor (GCF) of 36846 and 36854 is 2.

GCF(36846,36854) = 2

We will now calculate the prime factors of 36846 and 36854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36846 and 36854.

How to find the GCF of 36846 and 36854?

We will first find the prime factorization of 36846 and 36854. After we will calculate the factors of 36846 and 36854 and find the biggest common factor number .

Step-1: Prime Factorization of 36846

Prime factors of 36846 are 2, 3, 23, 89. Prime factorization of 36846 in exponential form is:

36846 = 2¹ × 3² × 23¹ × 89¹

Step-2: Prime Factorization of 36854

Prime factors of 36854 are 2, 18427. Prime factorization of 36854 in exponential form is:

36854 = 2¹ × 18427¹

Step-3: Factors of 36846

List of positive integer factors of 36846 that divides 36846 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 89, 138, 178, 207, 267, 414, 534, 801, 1602, 2047, 4094, 6141, 12282, 18423

Step-4: Factors of 36854

List of positive integer factors of 36854 that divides 36846 without a remainder.

1, 2, 18427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36846 and 36854. The biggest common factor number is the GCF number.
So the greatest common factor 36846 and 36854 is 2.

Also check out the Least Common Multiple of 36846 and 36854