What is the Greatest Common Factor of 42813 and 42828?

Greatest common factor (GCF) of 42813 and 42828 is 3.

GCF(42813,42828) = 3

We will now calculate the prime factors of 42813 and 42828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42813 and 42828.

How to find the GCF of 42813 and 42828?

We will first find the prime factorization of 42813 and 42828. After we will calculate the factors of 42813 and 42828 and find the biggest common factor number .

Step-1: Prime Factorization of 42813

Prime factors of 42813 are 3, 67, 71. Prime factorization of 42813 in exponential form is:

42813 = 3² × 67¹ × 71¹

Step-2: 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-3: Factors of 42813

List of positive integer factors of 42813 that divides 42813 without a remainder.

1, 3, 9, 67, 71, 201, 213, 603, 639, 4757, 14271

Step-4: Factors of 42828

List of positive integer factors of 42828 that divides 42813 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42813 and 42828. The biggest common factor number is the GCF number.
So the greatest common factor 42813 and 42828 is 3.

Also check out the Least Common Multiple of 42813 and 42828