What is the Greatest Common Factor of 71850 and 71865?

Greatest common factor (GCF) of 71850 and 71865 is 15.

GCF(71850,71865) = 15

We will now calculate the prime factors of 71850 and 71865, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71850 and 71865.

How to find the GCF of 71850 and 71865?

We will first find the prime factorization of 71850 and 71865. After we will calculate the factors of 71850 and 71865 and find the biggest common factor number .

Step-1: Prime Factorization of 71850

Prime factors of 71850 are 2, 3, 5, 479. Prime factorization of 71850 in exponential form is:

71850 = 2¹ × 3¹ × 5² × 479¹

Step-2: Prime Factorization of 71865

Prime factors of 71865 are 3, 5, 1597. Prime factorization of 71865 in exponential form is:

71865 = 3² × 5¹ × 1597¹

Step-3: Factors of 71850

List of positive integer factors of 71850 that divides 71850 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 479, 958, 1437, 2395, 2874, 4790, 7185, 11975, 14370, 23950, 35925

Step-4: Factors of 71865

List of positive integer factors of 71865 that divides 71850 without a remainder.

1, 3, 5, 9, 15, 45, 1597, 4791, 7985, 14373, 23955

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71850 and 71865. The biggest common factor number is the GCF number.
So the greatest common factor 71850 and 71865 is 15.

Also check out the Least Common Multiple of 71850 and 71865