What is the Greatest Common Factor of 36671 and 36680?

Greatest common factor (GCF) of 36671 and 36680 is 1.

GCF(36671,36680) = 1

We will now calculate the prime factors of 36671 and 36680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36671 and 36680.

How to find the GCF of 36671 and 36680?

We will first find the prime factorization of 36671 and 36680. After we will calculate the factors of 36671 and 36680 and find the biggest common factor number .

Step-1: Prime Factorization of 36671

Prime factors of 36671 are 36671. Prime factorization of 36671 in exponential form is:

36671 = 36671¹

Step-2: Prime Factorization of 36680

Prime factors of 36680 are 2, 5, 7, 131. Prime factorization of 36680 in exponential form is:

36680 = 2³ × 5¹ × 7¹ × 131¹

Step-3: Factors of 36671

List of positive integer factors of 36671 that divides 36671 without a remainder.

Step-4: Factors of 36680

List of positive integer factors of 36680 that divides 36671 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 131, 140, 262, 280, 524, 655, 917, 1048, 1310, 1834, 2620, 3668, 4585, 5240, 7336, 9170, 18340

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36671 and 36680. The biggest common factor number is the GCF number.
So the greatest common factor 36671 and 36680 is 1.

Also check out the Least Common Multiple of 36671 and 36680