What is the Greatest Common Factor of 36840 and 36846?

Greatest common factor (GCF) of 36840 and 36846 is 6.

GCF(36840,36846) = 6

We will now calculate the prime factors of 36840 and 36846, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36840 and 36846.

How to find the GCF of 36840 and 36846?

We will first find the prime factorization of 36840 and 36846. After we will calculate the factors of 36840 and 36846 and find the biggest common factor number .

Step-1: Prime Factorization of 36840

Prime factors of 36840 are 2, 3, 5, 307. Prime factorization of 36840 in exponential form is:

36840 = 2³ × 3¹ × 5¹ × 307¹

Step-2: 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-3: Factors of 36840

List of positive integer factors of 36840 that divides 36840 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 307, 614, 921, 1228, 1535, 1842, 2456, 3070, 3684, 4605, 6140, 7368, 9210, 12280, 18420

Step-4: Factors of 36846

List of positive integer factors of 36846 that divides 36840 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36840 and 36846. The biggest common factor number is the GCF number.
So the greatest common factor 36840 and 36846 is 6.

Also check out the Least Common Multiple of 36840 and 36846