What is the Greatest Common Factor of 42963 and 42975?

Greatest common factor (GCF) of 42963 and 42975 is 3.

GCF(42963,42975) = 3

We will now calculate the prime factors of 42963 and 42975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42963 and 42975.

How to find the GCF of 42963 and 42975?

We will first find the prime factorization of 42963 and 42975. After we will calculate the factors of 42963 and 42975 and find the biggest common factor number .

Step-1: Prime Factorization of 42963

Prime factors of 42963 are 3, 14321. Prime factorization of 42963 in exponential form is:

42963 = 3¹ × 14321¹

Step-2: 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-3: Factors of 42963

List of positive integer factors of 42963 that divides 42963 without a remainder.

1, 3, 14321

Step-4: Factors of 42975

List of positive integer factors of 42975 that divides 42963 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42963 and 42975. The biggest common factor number is the GCF number.
So the greatest common factor 42963 and 42975 is 3.

Also check out the Least Common Multiple of 42963 and 42975