What is the Greatest Common Factor of 42987 and 42993?

Greatest common factor (GCF) of 42987 and 42993 is 3.

GCF(42987,42993) = 3

We will now calculate the prime factors of 42987 and 42993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42987 and 42993.

How to find the GCF of 42987 and 42993?

We will first find the prime factorization of 42987 and 42993. After we will calculate the factors of 42987 and 42993 and find the biggest common factor number .

Step-1: Prime Factorization of 42987

Prime factors of 42987 are 3, 7, 23, 89. Prime factorization of 42987 in exponential form is:

42987 = 3¹ × 7¹ × 23¹ × 89¹

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 42987

List of positive integer factors of 42987 that divides 42987 without a remainder.

1, 3, 7, 21, 23, 69, 89, 161, 267, 483, 623, 1869, 2047, 6141, 14329

Step-4: Factors of 42993

List of positive integer factors of 42993 that divides 42987 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 42987 and 42993. The biggest common factor number is the GCF number.
So the greatest common factor 42987 and 42993 is 3.

Also check out the Least Common Multiple of 42987 and 42993