What is the Greatest Common Factor of 37380 and 37384?

Greatest common factor (GCF) of 37380 and 37384 is 4.

GCF(37380,37384) = 4

We will now calculate the prime factors of 37380 and 37384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37380 and 37384.

How to find the GCF of 37380 and 37384?

We will first find the prime factorization of 37380 and 37384. After we will calculate the factors of 37380 and 37384 and find the biggest common factor number .

Step-1: Prime Factorization of 37380

Prime factors of 37380 are 2, 3, 5, 7, 89. Prime factorization of 37380 in exponential form is:

37380 = 2² × 3¹ × 5¹ × 7¹ × 89¹

Step-2: Prime Factorization of 37384

Prime factors of 37384 are 2, 4673. Prime factorization of 37384 in exponential form is:

37384 = 2³ × 4673¹

Step-3: Factors of 37380

List of positive integer factors of 37380 that divides 37380 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 89, 105, 140, 178, 210, 267, 356, 420, 445, 534, 623, 890, 1068, 1246, 1335, 1780, 1869, 2492, 2670, 3115, 3738, 5340, 6230, 7476, 9345, 12460, 18690

Step-4: Factors of 37384

List of positive integer factors of 37384 that divides 37380 without a remainder.

1, 2, 4, 8, 4673, 9346, 18692

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37380 and 37384. The biggest common factor number is the GCF number.
So the greatest common factor 37380 and 37384 is 4.

Also check out the Least Common Multiple of 37380 and 37384