What is the Greatest Common Factor of 42140 and 42146?

Greatest common factor (GCF) of 42140 and 42146 is 2.

GCF(42140,42146) = 2

We will now calculate the prime factors of 42140 and 42146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42140 and 42146.

How to find the GCF of 42140 and 42146?

We will first find the prime factorization of 42140 and 42146. After we will calculate the factors of 42140 and 42146 and find the biggest common factor number .

Step-1: Prime Factorization of 42140

Prime factors of 42140 are 2, 5, 7, 43. Prime factorization of 42140 in exponential form is:

42140 = 2² × 5¹ × 7² × 43¹

Step-2: Prime Factorization of 42146

Prime factors of 42146 are 2, 13, 1621. Prime factorization of 42146 in exponential form is:

42146 = 2¹ × 13¹ × 1621¹

Step-3: Factors of 42140

List of positive integer factors of 42140 that divides 42140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 43, 49, 70, 86, 98, 140, 172, 196, 215, 245, 301, 430, 490, 602, 860, 980, 1204, 1505, 2107, 3010, 4214, 6020, 8428, 10535, 21070

Step-4: Factors of 42146

List of positive integer factors of 42146 that divides 42140 without a remainder.

1, 2, 13, 26, 1621, 3242, 21073

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42140 and 42146. The biggest common factor number is the GCF number.
So the greatest common factor 42140 and 42146 is 2.

Also check out the Least Common Multiple of 42140 and 42146