What is the Greatest Common Factor of 36840 and 36853?

Greatest common factor (GCF) of 36840 and 36853 is 1.

GCF(36840,36853) = 1

We will now calculate the prime factors of 36840 and 36853, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36840 and 36853.

How to find the GCF of 36840 and 36853?

We will first find the prime factorization of 36840 and 36853. After we will calculate the factors of 36840 and 36853 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 36853

Prime factors of 36853 are 137, 269. Prime factorization of 36853 in exponential form is:

36853 = 137¹ × 269¹

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 36853

List of positive integer factors of 36853 that divides 36840 without a remainder.

1, 137, 269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36840 and 36853. The biggest common factor number is the GCF number.
So the greatest common factor 36840 and 36853 is 1.

Also check out the Least Common Multiple of 36840 and 36853