What is the Greatest Common Factor of 42698 and 42714?

Greatest common factor (GCF) of 42698 and 42714 is 2.

GCF(42698,42714) = 2

We will now calculate the prime factors of 42698 and 42714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42698 and 42714.

How to find the GCF of 42698 and 42714?

We will first find the prime factorization of 42698 and 42714. After we will calculate the factors of 42698 and 42714 and find the biggest common factor number .

Step-1: Prime Factorization of 42698

Prime factors of 42698 are 2, 37, 577. Prime factorization of 42698 in exponential form is:

42698 = 2¹ × 37¹ × 577¹

Step-2: 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-3: Factors of 42698

List of positive integer factors of 42698 that divides 42698 without a remainder.

1, 2, 37, 74, 577, 1154, 21349

Step-4: Factors of 42714

List of positive integer factors of 42714 that divides 42698 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42698 and 42714. The biggest common factor number is the GCF number.
So the greatest common factor 42698 and 42714 is 2.

Also check out the Least Common Multiple of 42698 and 42714