What is the Greatest Common Factor of 37914 and 37933?

Greatest common factor (GCF) of 37914 and 37933 is 1.

GCF(37914,37933) = 1

We will now calculate the prime factors of 37914 and 37933, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37914 and 37933.

How to find the GCF of 37914 and 37933?

We will first find the prime factorization of 37914 and 37933. After we will calculate the factors of 37914 and 37933 and find the biggest common factor number .

Step-1: Prime Factorization of 37914

Prime factors of 37914 are 2, 3, 71, 89. Prime factorization of 37914 in exponential form is:

37914 = 2¹ × 3¹ × 71¹ × 89¹

Step-2: Prime Factorization of 37933

Prime factors of 37933 are 7, 5419. Prime factorization of 37933 in exponential form is:

37933 = 7¹ × 5419¹

Step-3: Factors of 37914

List of positive integer factors of 37914 that divides 37914 without a remainder.

1, 2, 3, 6, 71, 89, 142, 178, 213, 267, 426, 534, 6319, 12638, 18957

Step-4: Factors of 37933

List of positive integer factors of 37933 that divides 37914 without a remainder.

1, 7, 5419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37914 and 37933. The biggest common factor number is the GCF number.
So the greatest common factor 37914 and 37933 is 1.

Also check out the Least Common Multiple of 37914 and 37933