What is the Greatest Common Factor of 42978 and 42991?

Greatest common factor (GCF) of 42978 and 42991 is 13.

GCF(42978,42991) = 13

We will now calculate the prime factors of 42978 and 42991, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42978 and 42991.

How to find the GCF of 42978 and 42991?

We will first find the prime factorization of 42978 and 42991. After we will calculate the factors of 42978 and 42991 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 42991

Prime factors of 42991 are 13, 3307. Prime factorization of 42991 in exponential form is:

42991 = 13¹ × 3307¹

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 42991

List of positive integer factors of 42991 that divides 42978 without a remainder.

1, 13, 3307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42978 and 42991. The biggest common factor number is the GCF number.
So the greatest common factor 42978 and 42991 is 13.

Also check out the Least Common Multiple of 42978 and 42991