What is the Greatest Common Factor of 37062 and 37067?

Greatest common factor (GCF) of 37062 and 37067 is 1.

GCF(37062,37067) = 1

We will now calculate the prime factors of 37062 and 37067, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37062 and 37067.

How to find the GCF of 37062 and 37067?

We will first find the prime factorization of 37062 and 37067. After we will calculate the factors of 37062 and 37067 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 37067

Prime factors of 37067 are 101, 367. Prime factorization of 37067 in exponential form is:

37067 = 101¹ × 367¹

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 37067

List of positive integer factors of 37067 that divides 37062 without a remainder.

1, 101, 367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37062 and 37067. The biggest common factor number is the GCF number.
So the greatest common factor 37062 and 37067 is 1.

Also check out the Least Common Multiple of 37062 and 37067