What is the Greatest Common Factor of 37697 and 37707?

Greatest common factor (GCF) of 37697 and 37707 is 1.

GCF(37697,37707) = 1

We will now calculate the prime factors of 37697 and 37707, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37697 and 37707.

How to find the GCF of 37697 and 37707?

We will first find the prime factorization of 37697 and 37707. After we will calculate the factors of 37697 and 37707 and find the biggest common factor number .

Step-1: Prime Factorization of 37697

Prime factors of 37697 are 11, 23, 149. Prime factorization of 37697 in exponential form is:

37697 = 11¹ × 23¹ × 149¹

Step-2: Prime Factorization of 37707

Prime factors of 37707 are 3, 12569. Prime factorization of 37707 in exponential form is:

37707 = 3¹ × 12569¹

Step-3: Factors of 37697

List of positive integer factors of 37697 that divides 37697 without a remainder.

1, 11, 23, 149, 253, 1639, 3427

Step-4: Factors of 37707

List of positive integer factors of 37707 that divides 37697 without a remainder.

1, 3, 12569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37697 and 37707. The biggest common factor number is the GCF number.
So the greatest common factor 37697 and 37707 is 1.

Also check out the Least Common Multiple of 37697 and 37707