What is the Greatest Common Factor of 36680 and 36690?

Greatest common factor (GCF) of 36680 and 36690 is 10.

GCF(36680,36690) = 10

We will now calculate the prime factors of 36680 and 36690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36680 and 36690.

How to find the GCF of 36680 and 36690?

We will first find the prime factorization of 36680 and 36690. After we will calculate the factors of 36680 and 36690 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36690

Prime factors of 36690 are 2, 3, 5, 1223. Prime factorization of 36690 in exponential form is:

36690 = 2¹ × 3¹ × 5¹ × 1223¹

Step-3: Factors of 36680

List of positive integer factors of 36680 that divides 36680 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

Step-4: Factors of 36690

List of positive integer factors of 36690 that divides 36680 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1223, 2446, 3669, 6115, 7338, 12230, 18345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36680 and 36690. The biggest common factor number is the GCF number.
So the greatest common factor 36680 and 36690 is 10.

Also check out the Least Common Multiple of 36680 and 36690