What is the Greatest Common Factor of 37655 and 37661?

Greatest common factor (GCF) of 37655 and 37661 is 1.

GCF(37655,37661) = 1

We will now calculate the prime factors of 37655 and 37661, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37655 and 37661.

How to find the GCF of 37655 and 37661?

We will first find the prime factorization of 37655 and 37661. After we will calculate the factors of 37655 and 37661 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 37661

Prime factors of 37661 are 13, 2897. Prime factorization of 37661 in exponential form is:

37661 = 13¹ × 2897¹

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 37661

List of positive integer factors of 37661 that divides 37655 without a remainder.

1, 13, 2897

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37655 and 37661. The biggest common factor number is the GCF number.
So the greatest common factor 37655 and 37661 is 1.

Also check out the Least Common Multiple of 37655 and 37661