What is the Greatest Common Factor of 37106 and 37110?

Greatest common factor (GCF) of 37106 and 37110 is 2.

GCF(37106,37110) = 2

We will now calculate the prime factors of 37106 and 37110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37106 and 37110.

How to find the GCF of 37106 and 37110?

We will first find the prime factorization of 37106 and 37110. After we will calculate the factors of 37106 and 37110 and find the biggest common factor number .

Step-1: Prime Factorization of 37106

Prime factors of 37106 are 2, 18553. Prime factorization of 37106 in exponential form is:

37106 = 2¹ × 18553¹

Step-2: Prime Factorization of 37110

Prime factors of 37110 are 2, 3, 5, 1237. Prime factorization of 37110 in exponential form is:

37110 = 2¹ × 3¹ × 5¹ × 1237¹

Step-3: Factors of 37106

List of positive integer factors of 37106 that divides 37106 without a remainder.

1, 2, 18553

Step-4: Factors of 37110

List of positive integer factors of 37110 that divides 37106 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1237, 2474, 3711, 6185, 7422, 12370, 18555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37106 and 37110. The biggest common factor number is the GCF number.
So the greatest common factor 37106 and 37110 is 2.

Also check out the Least Common Multiple of 37106 and 37110