What is the Greatest Common Factor of 42819 and 42826?

Greatest common factor (GCF) of 42819 and 42826 is 7.

GCF(42819,42826) = 7

We will now calculate the prime factors of 42819 and 42826, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42819 and 42826.

How to find the GCF of 42819 and 42826?

We will first find the prime factorization of 42819 and 42826. After we will calculate the factors of 42819 and 42826 and find the biggest common factor number .

Step-1: Prime Factorization of 42819

Prime factors of 42819 are 3, 7, 2039. Prime factorization of 42819 in exponential form is:

42819 = 3¹ × 7¹ × 2039¹

Step-2: Prime Factorization of 42826

Prime factors of 42826 are 2, 7, 19, 23. Prime factorization of 42826 in exponential form is:

42826 = 2¹ × 7² × 19¹ × 23¹

Step-3: Factors of 42819

List of positive integer factors of 42819 that divides 42819 without a remainder.

1, 3, 7, 21, 2039, 6117, 14273

Step-4: Factors of 42826

List of positive integer factors of 42826 that divides 42819 without a remainder.

1, 2, 7, 14, 19, 23, 38, 46, 49, 98, 133, 161, 266, 322, 437, 874, 931, 1127, 1862, 2254, 3059, 6118, 21413

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42819 and 42826. The biggest common factor number is the GCF number.
So the greatest common factor 42819 and 42826 is 7.

Also check out the Least Common Multiple of 42819 and 42826