What is the Greatest Common Factor of 37062 and 37077?

Greatest common factor (GCF) of 37062 and 37077 is 3.

GCF(37062,37077) = 3

We will now calculate the prime factors of 37062 and 37077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37062 and 37077.

How to find the GCF of 37062 and 37077?

We will first find the prime factorization of 37062 and 37077. After we will calculate the factors of 37062 and 37077 and find the biggest common factor number .

Step-1: Prime Factorization of 37062

Prime factors of 37062 are 2, 3, 29, 71. Prime factorization of 37062 in exponential form is:

37062 = 2¹ × 3² × 29¹ × 71¹

Step-2: Prime Factorization of 37077

Prime factors of 37077 are 3, 17, 727. Prime factorization of 37077 in exponential form is:

37077 = 3¹ × 17¹ × 727¹

Step-3: Factors of 37062

List of positive integer factors of 37062 that divides 37062 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 71, 87, 142, 174, 213, 261, 426, 522, 639, 1278, 2059, 4118, 6177, 12354, 18531

Step-4: Factors of 37077

List of positive integer factors of 37077 that divides 37062 without a remainder.

1, 3, 17, 51, 727, 2181, 12359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37062 and 37077. The biggest common factor number is the GCF number.
So the greatest common factor 37062 and 37077 is 3.

Also check out the Least Common Multiple of 37062 and 37077