What is the Greatest Common Factor of 42714 and 42730?

Greatest common factor (GCF) of 42714 and 42730 is 2.

GCF(42714,42730) = 2

We will now calculate the prime factors of 42714 and 42730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42714 and 42730.

How to find the GCF of 42714 and 42730?

We will first find the prime factorization of 42714 and 42730. After we will calculate the factors of 42714 and 42730 and find the biggest common factor number .

Step-1: Prime Factorization of 42714

Prime factors of 42714 are 2, 3, 7, 113. Prime factorization of 42714 in exponential form is:

42714 = 2¹ × 3³ × 7¹ × 113¹

Step-2: Prime Factorization of 42730

Prime factors of 42730 are 2, 5, 4273. Prime factorization of 42730 in exponential form is:

42730 = 2¹ × 5¹ × 4273¹

Step-3: Factors of 42714

List of positive integer factors of 42714 that divides 42714 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 113, 126, 189, 226, 339, 378, 678, 791, 1017, 1582, 2034, 2373, 3051, 4746, 6102, 7119, 14238, 21357

Step-4: Factors of 42730

List of positive integer factors of 42730 that divides 42714 without a remainder.

1, 2, 5, 10, 4273, 8546, 21365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42714 and 42730. The biggest common factor number is the GCF number.
So the greatest common factor 42714 and 42730 is 2.

Also check out the Least Common Multiple of 42714 and 42730