What is the Greatest Common Factor of 42735 and 42755?

Greatest common factor (GCF) of 42735 and 42755 is 5.

GCF(42735,42755) = 5

We will now calculate the prime factors of 42735 and 42755, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42735 and 42755.

How to find the GCF of 42735 and 42755?

We will first find the prime factorization of 42735 and 42755. After we will calculate the factors of 42735 and 42755 and find the biggest common factor number .

Step-1: Prime Factorization of 42735

Prime factors of 42735 are 3, 5, 7, 11, 37. Prime factorization of 42735 in exponential form is:

42735 = 3¹ × 5¹ × 7¹ × 11¹ × 37¹

Step-2: Prime Factorization of 42755

Prime factors of 42755 are 5, 17, 503. Prime factorization of 42755 in exponential form is:

42755 = 5¹ × 17¹ × 503¹

Step-3: Factors of 42735

List of positive integer factors of 42735 that divides 42735 without a remainder.

1, 3, 5, 7, 11, 15, 21, 33, 35, 37, 55, 77, 105, 111, 165, 185, 231, 259, 385, 407, 555, 777, 1155, 1221, 1295, 2035, 2849, 3885, 6105, 8547, 14245

Step-4: Factors of 42755

List of positive integer factors of 42755 that divides 42735 without a remainder.

1, 5, 17, 85, 503, 2515, 8551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42735 and 42755. The biggest common factor number is the GCF number.
So the greatest common factor 42735 and 42755 is 5.

Also check out the Least Common Multiple of 42735 and 42755