What is the Greatest Common Factor of 37408 and 37418?

Greatest common factor (GCF) of 37408 and 37418 is 2.

GCF(37408,37418) = 2

We will now calculate the prime factors of 37408 and 37418, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37408 and 37418.

How to find the GCF of 37408 and 37418?

We will first find the prime factorization of 37408 and 37418. After we will calculate the factors of 37408 and 37418 and find the biggest common factor number .

Step-1: Prime Factorization of 37408

Prime factors of 37408 are 2, 7, 167. Prime factorization of 37408 in exponential form is:

37408 = 2⁵ × 7¹ × 167¹

Step-2: Prime Factorization of 37418

Prime factors of 37418 are 2, 53, 353. Prime factorization of 37418 in exponential form is:

37418 = 2¹ × 53¹ × 353¹

Step-3: Factors of 37408

List of positive integer factors of 37408 that divides 37408 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 167, 224, 334, 668, 1169, 1336, 2338, 2672, 4676, 5344, 9352, 18704

Step-4: Factors of 37418

List of positive integer factors of 37418 that divides 37408 without a remainder.

1, 2, 53, 106, 353, 706, 18709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37408 and 37418. The biggest common factor number is the GCF number.
So the greatest common factor 37408 and 37418 is 2.

Also check out the Least Common Multiple of 37408 and 37418