What is the Greatest Common Factor of 42792 and 42800?

Greatest common factor (GCF) of 42792 and 42800 is 8.

GCF(42792,42800) = 8

We will now calculate the prime factors of 42792 and 42800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42792 and 42800.

How to find the GCF of 42792 and 42800?

We will first find the prime factorization of 42792 and 42800. After we will calculate the factors of 42792 and 42800 and find the biggest common factor number .

Step-1: Prime Factorization of 42792

Prime factors of 42792 are 2, 3, 1783. Prime factorization of 42792 in exponential form is:

42792 = 2³ × 3¹ × 1783¹

Step-2: 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-3: Factors of 42792

List of positive integer factors of 42792 that divides 42792 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1783, 3566, 5349, 7132, 10698, 14264, 21396

Step-4: Factors of 42800

List of positive integer factors of 42800 that divides 42792 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42792 and 42800. The biggest common factor number is the GCF number.
So the greatest common factor 42792 and 42800 is 8.

Also check out the Least Common Multiple of 42792 and 42800