What is the Greatest Common Factor of 71910 and 71928?

Greatest common factor (GCF) of 71910 and 71928 is 18.

GCF(71910,71928) = 18

We will now calculate the prime factors of 71910 and 71928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71910 and 71928.

How to find the GCF of 71910 and 71928?

We will first find the prime factorization of 71910 and 71928. After we will calculate the factors of 71910 and 71928 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 71928

Prime factors of 71928 are 2, 3, 37. Prime factorization of 71928 in exponential form is:

71928 = 2³ × 3⁵ × 37¹

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 71928

List of positive integer factors of 71928 that divides 71910 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 37, 54, 72, 74, 81, 108, 111, 148, 162, 216, 222, 243, 296, 324, 333, 444, 486, 648, 666, 888, 972, 999, 1332, 1944, 1998, 2664, 2997, 3996, 5994, 7992, 8991, 11988, 17982, 23976, 35964

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71910 and 71928. The biggest common factor number is the GCF number.
So the greatest common factor 71910 and 71928 is 18.

Also check out the Least Common Multiple of 71910 and 71928