What is the Greatest Common Factor of 71910 and 71925?

Greatest common factor (GCF) of 71910 and 71925 is 15.

GCF(71910,71925) = 15

We will now calculate the prime factors of 71910 and 71925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71910 and 71925.

How to find the GCF of 71910 and 71925?

We will first find the prime factorization of 71910 and 71925. After we will calculate the factors of 71910 and 71925 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 71925

Prime factors of 71925 are 3, 5, 7, 137. Prime factorization of 71925 in exponential form is:

71925 = 3¹ × 5² × 7¹ × 137¹

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 71925

List of positive integer factors of 71925 that divides 71910 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 137, 175, 411, 525, 685, 959, 2055, 2877, 3425, 4795, 10275, 14385, 23975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71910 and 71925. The biggest common factor number is the GCF number.
So the greatest common factor 71910 and 71925 is 15.

Also check out the Least Common Multiple of 71910 and 71925