What is the Greatest Common Factor of 37401 and 37408?

Greatest common factor (GCF) of 37401 and 37408 is 7.

GCF(37401,37408) = 7

We will now calculate the prime factors of 37401 and 37408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37401 and 37408.

How to find the GCF of 37401 and 37408?

We will first find the prime factorization of 37401 and 37408. After we will calculate the factors of 37401 and 37408 and find the biggest common factor number .

Step-1: Prime Factorization of 37401

Prime factors of 37401 are 3, 7, 13, 137. Prime factorization of 37401 in exponential form is:

37401 = 3¹ × 7¹ × 13¹ × 137¹

Step-2: 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-3: Factors of 37401

List of positive integer factors of 37401 that divides 37401 without a remainder.

1, 3, 7, 13, 21, 39, 91, 137, 273, 411, 959, 1781, 2877, 5343, 12467

Step-4: Factors of 37408

List of positive integer factors of 37408 that divides 37401 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37401 and 37408. The biggest common factor number is the GCF number.
So the greatest common factor 37401 and 37408 is 7.

Also check out the Least Common Multiple of 37401 and 37408