What is the Greatest Common Factor of 42978 and 42993?

Greatest common factor (GCF) of 42978 and 42993 is 3.

GCF(42978,42993) = 3

We will now calculate the prime factors of 42978 and 42993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42978 and 42993.

How to find the GCF of 42978 and 42993?

We will first find the prime factorization of 42978 and 42993. After we will calculate the factors of 42978 and 42993 and find the biggest common factor number .

Step-1: Prime Factorization of 42978

Prime factors of 42978 are 2, 3, 13, 19, 29. Prime factorization of 42978 in exponential form is:

42978 = 2¹ × 3¹ × 13¹ × 19¹ × 29¹

Step-2: Prime Factorization of 42993

Prime factors of 42993 are 3, 17, 281. Prime factorization of 42993 in exponential form is:

42993 = 3² × 17¹ × 281¹

Step-3: Factors of 42978

List of positive integer factors of 42978 that divides 42978 without a remainder.

1, 2, 3, 6, 13, 19, 26, 29, 38, 39, 57, 58, 78, 87, 114, 174, 247, 377, 494, 551, 741, 754, 1102, 1131, 1482, 1653, 2262, 3306, 7163, 14326, 21489

Step-4: Factors of 42993

List of positive integer factors of 42993 that divides 42978 without a remainder.

1, 3, 9, 17, 51, 153, 281, 843, 2529, 4777, 14331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42978 and 42993. The biggest common factor number is the GCF number.
So the greatest common factor 42978 and 42993 is 3.

Also check out the Least Common Multiple of 42978 and 42993