What is the Greatest Common Factor of 71900 and 71910?

Greatest common factor (GCF) of 71900 and 71910 is 10.

GCF(71900,71910) = 10

We will now calculate the prime factors of 71900 and 71910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71900 and 71910.

How to find the GCF of 71900 and 71910?

We will first find the prime factorization of 71900 and 71910. After we will calculate the factors of 71900 and 71910 and find the biggest common factor number .

Step-1: Prime Factorization of 71900

Prime factors of 71900 are 2, 5, 719. Prime factorization of 71900 in exponential form is:

71900 = 2² × 5² × 719¹

Step-2: 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-3: Factors of 71900

List of positive integer factors of 71900 that divides 71900 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 719, 1438, 2876, 3595, 7190, 14380, 17975, 35950

Step-4: Factors of 71910

List of positive integer factors of 71910 that divides 71900 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71900 and 71910. The biggest common factor number is the GCF number.
So the greatest common factor 71900 and 71910 is 10.

Also check out the Least Common Multiple of 71900 and 71910