What is the Greatest Common Factor of 37472 and 37481?

Greatest common factor (GCF) of 37472 and 37481 is 1.

GCF(37472,37481) = 1

We will now calculate the prime factors of 37472 and 37481, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37472 and 37481.

How to find the GCF of 37472 and 37481?

We will first find the prime factorization of 37472 and 37481. After we will calculate the factors of 37472 and 37481 and find the biggest common factor number .

Step-1: Prime Factorization of 37472

Prime factors of 37472 are 2, 1171. Prime factorization of 37472 in exponential form is:

37472 = 2⁵ × 1171¹

Step-2: Prime Factorization of 37481

Prime factors of 37481 are 37, 1013. Prime factorization of 37481 in exponential form is:

37481 = 37¹ × 1013¹

Step-3: Factors of 37472

List of positive integer factors of 37472 that divides 37472 without a remainder.

1, 2, 4, 8, 16, 32, 1171, 2342, 4684, 9368, 18736

Step-4: Factors of 37481

List of positive integer factors of 37481 that divides 37472 without a remainder.

1, 37, 1013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37472 and 37481. The biggest common factor number is the GCF number.
So the greatest common factor 37472 and 37481 is 1.

Also check out the Least Common Multiple of 37472 and 37481