What is the Greatest Common Factor of 38070 and 38074?

Greatest common factor (GCF) of 38070 and 38074 is 2.

GCF(38070,38074) = 2

We will now calculate the prime factors of 38070 and 38074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38070 and 38074.

How to find the GCF of 38070 and 38074?

We will first find the prime factorization of 38070 and 38074. After we will calculate the factors of 38070 and 38074 and find the biggest common factor number .

Step-1: Prime Factorization of 38070

Prime factors of 38070 are 2, 3, 5, 47. Prime factorization of 38070 in exponential form is:

38070 = 2¹ × 3⁴ × 5¹ × 47¹

Step-2: Prime Factorization of 38074

Prime factors of 38074 are 2, 19037. Prime factorization of 38074 in exponential form is:

38074 = 2¹ × 19037¹

Step-3: Factors of 38070

List of positive integer factors of 38070 that divides 38070 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 47, 54, 81, 90, 94, 135, 141, 162, 235, 270, 282, 405, 423, 470, 705, 810, 846, 1269, 1410, 2115, 2538, 3807, 4230, 6345, 7614, 12690, 19035

Step-4: Factors of 38074

List of positive integer factors of 38074 that divides 38070 without a remainder.

1, 2, 19037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38070 and 38074. The biggest common factor number is the GCF number.
So the greatest common factor 38070 and 38074 is 2.

Also check out the Least Common Multiple of 38070 and 38074