What is the Greatest Common Factor of 42828 and 42836?

Greatest common factor (GCF) of 42828 and 42836 is 4.

GCF(42828,42836) = 4

We will now calculate the prime factors of 42828 and 42836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42828 and 42836.

How to find the GCF of 42828 and 42836?

We will first find the prime factorization of 42828 and 42836. After we will calculate the factors of 42828 and 42836 and find the biggest common factor number .

Step-1: Prime Factorization of 42828

Prime factors of 42828 are 2, 3, 43, 83. Prime factorization of 42828 in exponential form is:

42828 = 2² × 3¹ × 43¹ × 83¹

Step-2: Prime Factorization of 42836

Prime factors of 42836 are 2, 10709. Prime factorization of 42836 in exponential form is:

42836 = 2² × 10709¹

Step-3: Factors of 42828

List of positive integer factors of 42828 that divides 42828 without a remainder.

1, 2, 3, 4, 6, 12, 43, 83, 86, 129, 166, 172, 249, 258, 332, 498, 516, 996, 3569, 7138, 10707, 14276, 21414

Step-4: Factors of 42836

List of positive integer factors of 42836 that divides 42828 without a remainder.

1, 2, 4, 10709, 21418

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42828 and 42836. The biggest common factor number is the GCF number.
So the greatest common factor 42828 and 42836 is 4.

Also check out the Least Common Multiple of 42828 and 42836