What is the Greatest Common Factor of 71619 and 71625?

Greatest common factor (GCF) of 71619 and 71625 is 3.

GCF(71619,71625) = 3

We will now calculate the prime factors of 71619 and 71625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71619 and 71625.

How to find the GCF of 71619 and 71625?

We will first find the prime factorization of 71619 and 71625. After we will calculate the factors of 71619 and 71625 and find the biggest common factor number .

Step-1: Prime Factorization of 71619

Prime factors of 71619 are 3, 23873. Prime factorization of 71619 in exponential form is:

71619 = 3¹ × 23873¹

Step-2: Prime Factorization of 71625

Prime factors of 71625 are 3, 5, 191. Prime factorization of 71625 in exponential form is:

71625 = 3¹ × 5³ × 191¹

Step-3: Factors of 71619

List of positive integer factors of 71619 that divides 71619 without a remainder.

1, 3, 23873

Step-4: Factors of 71625

List of positive integer factors of 71625 that divides 71619 without a remainder.

1, 3, 5, 15, 25, 75, 125, 191, 375, 573, 955, 2865, 4775, 14325, 23875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71619 and 71625. The biggest common factor number is the GCF number.
So the greatest common factor 71619 and 71625 is 3.

Also check out the Least Common Multiple of 71619 and 71625