What is the Greatest Common Factor of 37144 and 37149?

Greatest common factor (GCF) of 37144 and 37149 is 1.

GCF(37144,37149) = 1

We will now calculate the prime factors of 37144 and 37149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37144 and 37149.

How to find the GCF of 37144 and 37149?

We will first find the prime factorization of 37144 and 37149. After we will calculate the factors of 37144 and 37149 and find the biggest common factor number .

Step-1: Prime Factorization of 37144

Prime factors of 37144 are 2, 4643. Prime factorization of 37144 in exponential form is:

37144 = 2³ × 4643¹

Step-2: Prime Factorization of 37149

Prime factors of 37149 are 3, 7, 29, 61. Prime factorization of 37149 in exponential form is:

37149 = 3¹ × 7¹ × 29¹ × 61¹

Step-3: Factors of 37144

List of positive integer factors of 37144 that divides 37144 without a remainder.

1, 2, 4, 8, 4643, 9286, 18572

Step-4: Factors of 37149

List of positive integer factors of 37149 that divides 37144 without a remainder.

1, 3, 7, 21, 29, 61, 87, 183, 203, 427, 609, 1281, 1769, 5307, 12383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37144 and 37149. The biggest common factor number is the GCF number.
So the greatest common factor 37144 and 37149 is 1.

Also check out the Least Common Multiple of 37144 and 37149