What is the Greatest Common Factor of 37074 and 37083?

Greatest common factor (GCF) of 37074 and 37083 is 3.

GCF(37074,37083) = 3

We will now calculate the prime factors of 37074 and 37083, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37074 and 37083.

How to find the GCF of 37074 and 37083?

We will first find the prime factorization of 37074 and 37083. After we will calculate the factors of 37074 and 37083 and find the biggest common factor number .

Step-1: Prime Factorization of 37074

Prime factors of 37074 are 2, 3, 37, 167. Prime factorization of 37074 in exponential form is:

37074 = 2¹ × 3¹ × 37¹ × 167¹

Step-2: Prime Factorization of 37083

Prime factors of 37083 are 3, 47, 263. Prime factorization of 37083 in exponential form is:

37083 = 3¹ × 47¹ × 263¹

Step-3: Factors of 37074

List of positive integer factors of 37074 that divides 37074 without a remainder.

1, 2, 3, 6, 37, 74, 111, 167, 222, 334, 501, 1002, 6179, 12358, 18537

Step-4: Factors of 37083

List of positive integer factors of 37083 that divides 37074 without a remainder.

1, 3, 47, 141, 263, 789, 12361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37074 and 37083. The biggest common factor number is the GCF number.
So the greatest common factor 37074 and 37083 is 3.

Also check out the Least Common Multiple of 37074 and 37083