What is the Greatest Common Factor of 75675 and 75685?

Greatest common factor (GCF) of 75675 and 75685 is 5.

GCF(75675,75685) = 5

We will now calculate the prime factors of 75675 and 75685, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75675 and 75685.

How to find the GCF of 75675 and 75685?

We will first find the prime factorization of 75675 and 75685. After we will calculate the factors of 75675 and 75685 and find the biggest common factor number .

Step-1: Prime Factorization of 75675

Prime factors of 75675 are 3, 5, 1009. Prime factorization of 75675 in exponential form is:

75675 = 3¹ × 5² × 1009¹

Step-2: Prime Factorization of 75685

Prime factors of 75685 are 5, 15137. Prime factorization of 75685 in exponential form is:

75685 = 5¹ × 15137¹

Step-3: Factors of 75675

List of positive integer factors of 75675 that divides 75675 without a remainder.

1, 3, 5, 15, 25, 75, 1009, 3027, 5045, 15135, 25225

Step-4: Factors of 75685

List of positive integer factors of 75685 that divides 75675 without a remainder.

1, 5, 15137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75675 and 75685. The biggest common factor number is the GCF number.
So the greatest common factor 75675 and 75685 is 5.

Also check out the Least Common Multiple of 75675 and 75685