What is the Greatest Common Factor of 42102 and 42120?

Greatest common factor (GCF) of 42102 and 42120 is 18.

GCF(42102,42120) = 18

We will now calculate the prime factors of 42102 and 42120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42102 and 42120.

How to find the GCF of 42102 and 42120?

We will first find the prime factorization of 42102 and 42120. After we will calculate the factors of 42102 and 42120 and find the biggest common factor number .

Step-1: Prime Factorization of 42102

Prime factors of 42102 are 2, 3, 2339. Prime factorization of 42102 in exponential form is:

42102 = 2¹ × 3² × 2339¹

Step-2: Prime Factorization of 42120

Prime factors of 42120 are 2, 3, 5, 13. Prime factorization of 42120 in exponential form is:

42120 = 2³ × 3⁴ × 5¹ × 13¹

Step-3: Factors of 42102

List of positive integer factors of 42102 that divides 42102 without a remainder.

1, 2, 3, 6, 9, 18, 2339, 4678, 7017, 14034, 21051

Step-4: Factors of 42120

List of positive integer factors of 42120 that divides 42102 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 18, 20, 24, 26, 27, 30, 36, 39, 40, 45, 52, 54, 60, 65, 72, 78, 81, 90, 104, 108, 117, 120, 130, 135, 156, 162, 180, 195, 216, 234, 260, 270, 312, 324, 351, 360, 390, 405, 468, 520, 540, 585, 648, 702, 780, 810, 936, 1053, 1080, 1170, 1404, 1560, 1620, 1755, 2106, 2340, 2808, 3240, 3510, 4212, 4680, 5265, 7020, 8424, 10530, 14040, 21060

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42102 and 42120. The biggest common factor number is the GCF number.
So the greatest common factor 42102 and 42120 is 18.

Also check out the Least Common Multiple of 42102 and 42120