What is the Greatest Common Factor of 71625 and 71643?

Greatest common factor (GCF) of 71625 and 71643 is 3.

GCF(71625,71643) = 3

We will now calculate the prime factors of 71625 and 71643, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71625 and 71643.

How to find the GCF of 71625 and 71643?

We will first find the prime factorization of 71625 and 71643. After we will calculate the factors of 71625 and 71643 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 71643

Prime factors of 71643 are 3, 11, 13, 167. Prime factorization of 71643 in exponential form is:

71643 = 3¹ × 11¹ × 13¹ × 167¹

Step-3: Factors of 71625

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

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

Step-4: Factors of 71643

List of positive integer factors of 71643 that divides 71625 without a remainder.

1, 3, 11, 13, 33, 39, 143, 167, 429, 501, 1837, 2171, 5511, 6513, 23881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71625 and 71643. The biggest common factor number is the GCF number.
So the greatest common factor 71625 and 71643 is 3.

Also check out the Least Common Multiple of 71625 and 71643