What is the Greatest Common Factor of 36374 and 36380?

Greatest common factor (GCF) of 36374 and 36380 is 2.

GCF(36374,36380) = 2

We will now calculate the prime factors of 36374 and 36380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36374 and 36380.

How to find the GCF of 36374 and 36380?

We will first find the prime factorization of 36374 and 36380. After we will calculate the factors of 36374 and 36380 and find the biggest common factor number .

Step-1: Prime Factorization of 36374

Prime factors of 36374 are 2, 13, 1399. Prime factorization of 36374 in exponential form is:

36374 = 2¹ × 13¹ × 1399¹

Step-2: Prime Factorization of 36380

Prime factors of 36380 are 2, 5, 17, 107. Prime factorization of 36380 in exponential form is:

36380 = 2² × 5¹ × 17¹ × 107¹

Step-3: Factors of 36374

List of positive integer factors of 36374 that divides 36374 without a remainder.

1, 2, 13, 26, 1399, 2798, 18187

Step-4: Factors of 36380

List of positive integer factors of 36380 that divides 36374 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 107, 170, 214, 340, 428, 535, 1070, 1819, 2140, 3638, 7276, 9095, 18190

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36374 and 36380. The biggest common factor number is the GCF number.
So the greatest common factor 36374 and 36380 is 2.

Also check out the Least Common Multiple of 36374 and 36380