What is the Greatest Common Factor of 37655 and 37666?

Greatest common factor (GCF) of 37655 and 37666 is 1.

GCF(37655,37666) = 1

We will now calculate the prime factors of 37655 and 37666, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37655 and 37666.

How to find the GCF of 37655 and 37666?

We will first find the prime factorization of 37655 and 37666. After we will calculate the factors of 37655 and 37666 and find the biggest common factor number .

Step-1: Prime Factorization of 37655

Prime factors of 37655 are 5, 17, 443. Prime factorization of 37655 in exponential form is:

37655 = 5¹ × 17¹ × 443¹

Step-2: Prime Factorization of 37666

Prime factors of 37666 are 2, 37, 509. Prime factorization of 37666 in exponential form is:

37666 = 2¹ × 37¹ × 509¹

Step-3: Factors of 37655

List of positive integer factors of 37655 that divides 37655 without a remainder.

1, 5, 17, 85, 443, 2215, 7531

Step-4: Factors of 37666

List of positive integer factors of 37666 that divides 37655 without a remainder.

1, 2, 37, 74, 509, 1018, 18833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37655 and 37666. The biggest common factor number is the GCF number.
So the greatest common factor 37655 and 37666 is 1.

Also check out the Least Common Multiple of 37655 and 37666