What is the Greatest Common Factor of 42133 and 42140?

Greatest common factor (GCF) of 42133 and 42140 is 7.

GCF(42133,42140) = 7

We will now calculate the prime factors of 42133 and 42140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42133 and 42140.

How to find the GCF of 42133 and 42140?

We will first find the prime factorization of 42133 and 42140. After we will calculate the factors of 42133 and 42140 and find the biggest common factor number .

Step-1: Prime Factorization of 42133

Prime factors of 42133 are 7, 13, 463. Prime factorization of 42133 in exponential form is:

42133 = 7¹ × 13¹ × 463¹

Step-2: 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-3: Factors of 42133

List of positive integer factors of 42133 that divides 42133 without a remainder.

1, 7, 13, 91, 463, 3241, 6019

Step-4: Factors of 42140

List of positive integer factors of 42140 that divides 42133 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42133 and 42140. The biggest common factor number is the GCF number.
So the greatest common factor 42133 and 42140 is 7.

Also check out the Least Common Multiple of 42133 and 42140