What is the Greatest Common Factor of 71910 and 71919?

Greatest common factor (GCF) of 71910 and 71919 is 9.

GCF(71910,71919) = 9

We will now calculate the prime factors of 71910 and 71919, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71910 and 71919.

How to find the GCF of 71910 and 71919?

We will first find the prime factorization of 71910 and 71919. After we will calculate the factors of 71910 and 71919 and find the biggest common factor number .

Step-1: Prime Factorization of 71910

Prime factors of 71910 are 2, 3, 5, 17, 47. Prime factorization of 71910 in exponential form is:

71910 = 2¹ × 3² × 5¹ × 17¹ × 47¹

Step-2: Prime Factorization of 71919

Prime factors of 71919 are 3, 61, 131. Prime factorization of 71919 in exponential form is:

71919 = 3² × 61¹ × 131¹

Step-3: Factors of 71910

List of positive integer factors of 71910 that divides 71910 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 30, 34, 45, 47, 51, 85, 90, 94, 102, 141, 153, 170, 235, 255, 282, 306, 423, 470, 510, 705, 765, 799, 846, 1410, 1530, 1598, 2115, 2397, 3995, 4230, 4794, 7191, 7990, 11985, 14382, 23970, 35955

Step-4: Factors of 71919

List of positive integer factors of 71919 that divides 71910 without a remainder.

1, 3, 9, 61, 131, 183, 393, 549, 1179, 7991, 23973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71910 and 71919. The biggest common factor number is the GCF number.
So the greatest common factor 71910 and 71919 is 9.

Also check out the Least Common Multiple of 71910 and 71919