What is the Greatest Common Factor of 42120 and 42131?

Greatest common factor (GCF) of 42120 and 42131 is 1.

GCF(42120,42131) = 1

We will now calculate the prime factors of 42120 and 42131, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42120 and 42131.

How to find the GCF of 42120 and 42131?

We will first find the prime factorization of 42120 and 42131. After we will calculate the factors of 42120 and 42131 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 42131

Prime factors of 42131 are 42131. Prime factorization of 42131 in exponential form is:

42131 = 42131¹

Step-3: Factors of 42120

List of positive integer factors of 42120 that divides 42120 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

Step-4: Factors of 42131

List of positive integer factors of 42131 that divides 42120 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42120 and 42131. The biggest common factor number is the GCF number.
So the greatest common factor 42120 and 42131 is 1.

Also check out the Least Common Multiple of 42120 and 42131