What is the Greatest Common Factor of 37698 and 37707?

Greatest common factor (GCF) of 37698 and 37707 is 3.

GCF(37698,37707) = 3

We will now calculate the prime factors of 37698 and 37707, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37698 and 37707.

How to find the GCF of 37698 and 37707?

We will first find the prime factorization of 37698 and 37707. After we will calculate the factors of 37698 and 37707 and find the biggest common factor number .

Step-1: Prime Factorization of 37698

Prime factors of 37698 are 2, 3, 61, 103. Prime factorization of 37698 in exponential form is:

37698 = 2¹ × 3¹ × 61¹ × 103¹

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 37698

List of positive integer factors of 37698 that divides 37698 without a remainder.

1, 2, 3, 6, 61, 103, 122, 183, 206, 309, 366, 618, 6283, 12566, 18849

Step-4: Factors of 37707

List of positive integer factors of 37707 that divides 37698 without a remainder.

1, 3, 12569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37698 and 37707. The biggest common factor number is the GCF number.
So the greatest common factor 37698 and 37707 is 3.

Also check out the Least Common Multiple of 37698 and 37707