What is the Greatest Common Factor of 42800 and 42820?

Greatest common factor (GCF) of 42800 and 42820 is 20.

GCF(42800,42820) = 20

We will now calculate the prime factors of 42800 and 42820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42800 and 42820.

How to find the GCF of 42800 and 42820?

We will first find the prime factorization of 42800 and 42820. After we will calculate the factors of 42800 and 42820 and find the biggest common factor number .

Step-1: Prime Factorization of 42800

Prime factors of 42800 are 2, 5, 107. Prime factorization of 42800 in exponential form is:

42800 = 2⁴ × 5² × 107¹

Step-2: Prime Factorization of 42820

Prime factors of 42820 are 2, 5, 2141. Prime factorization of 42820 in exponential form is:

42820 = 2² × 5¹ × 2141¹

Step-3: Factors of 42800

List of positive integer factors of 42800 that divides 42800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 107, 200, 214, 400, 428, 535, 856, 1070, 1712, 2140, 2675, 4280, 5350, 8560, 10700, 21400

Step-4: Factors of 42820

List of positive integer factors of 42820 that divides 42800 without a remainder.

1, 2, 4, 5, 10, 20, 2141, 4282, 8564, 10705, 21410

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42800 and 42820. The biggest common factor number is the GCF number.
So the greatest common factor 42800 and 42820 is 20.

Also check out the Least Common Multiple of 42800 and 42820