What is the Greatest Common Factor of 42684 and 42700?

Greatest common factor (GCF) of 42684 and 42700 is 4.

GCF(42684,42700) = 4

We will now calculate the prime factors of 42684 and 42700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42684 and 42700.

How to find the GCF of 42684 and 42700?

We will first find the prime factorization of 42684 and 42700. After we will calculate the factors of 42684 and 42700 and find the biggest common factor number .

Step-1: Prime Factorization of 42684

Prime factors of 42684 are 2, 3, 3557. Prime factorization of 42684 in exponential form is:

42684 = 2² × 3¹ × 3557¹

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 42684

List of positive integer factors of 42684 that divides 42684 without a remainder.

1, 2, 3, 4, 6, 12, 3557, 7114, 10671, 14228, 21342

Step-4: Factors of 42700

List of positive integer factors of 42700 that divides 42684 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 42684 and 42700. The biggest common factor number is the GCF number.
So the greatest common factor 42684 and 42700 is 4.

Also check out the Least Common Multiple of 42684 and 42700