What is the Greatest Common Factor of 42686 and 42700?

Greatest common factor (GCF) of 42686 and 42700 is 14.

GCF(42686,42700) = 14

We will now calculate the prime factors of 42686 and 42700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42686 and 42700.

How to find the GCF of 42686 and 42700?

We will first find the prime factorization of 42686 and 42700. After we will calculate the factors of 42686 and 42700 and find the biggest common factor number .

Step-1: Prime Factorization of 42686

Prime factors of 42686 are 2, 7, 3049. Prime factorization of 42686 in exponential form is:

42686 = 2¹ × 7¹ × 3049¹

Step-2: Prime Factorization of 42700

Prime factors of 42700 are 2, 5, 7, 61. Prime factorization of 42700 in exponential form is:

42700 = 2² × 5² × 7¹ × 61¹

Step-3: Factors of 42686

List of positive integer factors of 42686 that divides 42686 without a remainder.

1, 2, 7, 14, 3049, 6098, 21343

Step-4: Factors of 42700

List of positive integer factors of 42700 that divides 42686 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 61, 70, 100, 122, 140, 175, 244, 305, 350, 427, 610, 700, 854, 1220, 1525, 1708, 2135, 3050, 4270, 6100, 8540, 10675, 21350

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42686 and 42700. The biggest common factor number is the GCF number.
So the greatest common factor 42686 and 42700 is 14.

Also check out the Least Common Multiple of 42686 and 42700