What is the Greatest Common Factor of 71850 and 71860?

Greatest common factor (GCF) of 71850 and 71860 is 10.

GCF(71850,71860) = 10

We will now calculate the prime factors of 71850 and 71860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71850 and 71860.

How to find the GCF of 71850 and 71860?

We will first find the prime factorization of 71850 and 71860. After we will calculate the factors of 71850 and 71860 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 71860

Prime factors of 71860 are 2, 5, 3593. Prime factorization of 71860 in exponential form is:

71860 = 2² × 5¹ × 3593¹

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 71860

List of positive integer factors of 71860 that divides 71850 without a remainder.

1, 2, 4, 5, 10, 20, 3593, 7186, 14372, 17965, 35930

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71850 and 71860. The biggest common factor number is the GCF number.
So the greatest common factor 71850 and 71860 is 10.

Also check out the Least Common Multiple of 71850 and 71860