What is the Greatest Common Factor of 42975 and 42987?

Greatest common factor (GCF) of 42975 and 42987 is 3.

GCF(42975,42987) = 3

We will now calculate the prime factors of 42975 and 42987, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42975 and 42987.

How to find the GCF of 42975 and 42987?

We will first find the prime factorization of 42975 and 42987. After we will calculate the factors of 42975 and 42987 and find the biggest common factor number .

Step-1: Prime Factorization of 42975

Prime factors of 42975 are 3, 5, 191. Prime factorization of 42975 in exponential form is:

42975 = 3² × 5² × 191¹

Step-2: 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-3: Factors of 42975

List of positive integer factors of 42975 that divides 42975 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 191, 225, 573, 955, 1719, 2865, 4775, 8595, 14325

Step-4: Factors of 42987

List of positive integer factors of 42987 that divides 42975 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42975 and 42987. The biggest common factor number is the GCF number.
So the greatest common factor 42975 and 42987 is 3.

Also check out the Least Common Multiple of 42975 and 42987