What is the Greatest Common Factor of 37254 and 37267?

Greatest common factor (GCF) of 37254 and 37267 is 1.

GCF(37254,37267) = 1

We will now calculate the prime factors of 37254 and 37267, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37254 and 37267.

How to find the GCF of 37254 and 37267?

We will first find the prime factorization of 37254 and 37267. After we will calculate the factors of 37254 and 37267 and find the biggest common factor number .

Step-1: Prime Factorization of 37254

Prime factors of 37254 are 2, 3, 7, 887. Prime factorization of 37254 in exponential form is:

37254 = 2¹ × 3¹ × 7¹ × 887¹

Step-2: Prime Factorization of 37267

Prime factors of 37267 are 83, 449. Prime factorization of 37267 in exponential form is:

37267 = 83¹ × 449¹

Step-3: Factors of 37254

List of positive integer factors of 37254 that divides 37254 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 887, 1774, 2661, 5322, 6209, 12418, 18627

Step-4: Factors of 37267

List of positive integer factors of 37267 that divides 37254 without a remainder.

1, 83, 449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37254 and 37267. The biggest common factor number is the GCF number.
So the greatest common factor 37254 and 37267 is 1.

Also check out the Least Common Multiple of 37254 and 37267