What is the Greatest Common Factor of 71514 and 71520?

Greatest common factor (GCF) of 71514 and 71520 is 6.

GCF(71514,71520) = 6

We will now calculate the prime factors of 71514 and 71520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71514 and 71520.

How to find the GCF of 71514 and 71520?

We will first find the prime factorization of 71514 and 71520. After we will calculate the factors of 71514 and 71520 and find the biggest common factor number .

Step-1: Prime Factorization of 71514

Prime factors of 71514 are 2, 3, 29, 137. Prime factorization of 71514 in exponential form is:

71514 = 2¹ × 3² × 29¹ × 137¹

Step-2: Prime Factorization of 71520

Prime factors of 71520 are 2, 3, 5, 149. Prime factorization of 71520 in exponential form is:

71520 = 2⁵ × 3¹ × 5¹ × 149¹

Step-3: Factors of 71514

List of positive integer factors of 71514 that divides 71514 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 137, 174, 261, 274, 411, 522, 822, 1233, 2466, 3973, 7946, 11919, 23838, 35757

Step-4: Factors of 71520

List of positive integer factors of 71520 that divides 71514 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 149, 160, 240, 298, 447, 480, 596, 745, 894, 1192, 1490, 1788, 2235, 2384, 2980, 3576, 4470, 4768, 5960, 7152, 8940, 11920, 14304, 17880, 23840, 35760

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71514 and 71520. The biggest common factor number is the GCF number.
So the greatest common factor 71514 and 71520 is 6.

Also check out the Least Common Multiple of 71514 and 71520