What is the Greatest Common Factor of 42675 and 42693?

Greatest common factor (GCF) of 42675 and 42693 is 3.

GCF(42675,42693) = 3

We will now calculate the prime factors of 42675 and 42693, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42675 and 42693.

How to find the GCF of 42675 and 42693?

We will first find the prime factorization of 42675 and 42693. After we will calculate the factors of 42675 and 42693 and find the biggest common factor number .

Step-1: Prime Factorization of 42675

Prime factors of 42675 are 3, 5, 569. Prime factorization of 42675 in exponential form is:

42675 = 3¹ × 5² × 569¹

Step-2: Prime Factorization of 42693

Prime factors of 42693 are 3, 7, 19, 107. Prime factorization of 42693 in exponential form is:

42693 = 3¹ × 7¹ × 19¹ × 107¹

Step-3: Factors of 42675

List of positive integer factors of 42675 that divides 42675 without a remainder.

1, 3, 5, 15, 25, 75, 569, 1707, 2845, 8535, 14225

Step-4: Factors of 42693

List of positive integer factors of 42693 that divides 42675 without a remainder.

1, 3, 7, 19, 21, 57, 107, 133, 321, 399, 749, 2033, 2247, 6099, 14231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42675 and 42693. The biggest common factor number is the GCF number.
So the greatest common factor 42675 and 42693 is 3.

Also check out the Least Common Multiple of 42675 and 42693