What is the Greatest Common Factor of 71520 and 71526?

Greatest common factor (GCF) of 71520 and 71526 is 6.

GCF(71520,71526) = 6

We will now calculate the prime factors of 71520 and 71526, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71520 and 71526.

How to find the GCF of 71520 and 71526?

We will first find the prime factorization of 71520 and 71526. After we will calculate the factors of 71520 and 71526 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 71526

Prime factors of 71526 are 2, 3, 7, 13, 131. Prime factorization of 71526 in exponential form is:

71526 = 2¹ × 3¹ × 7¹ × 13¹ × 131¹

Step-3: Factors of 71520

List of positive integer factors of 71520 that divides 71520 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

Step-4: Factors of 71526

List of positive integer factors of 71526 that divides 71520 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 131, 182, 262, 273, 393, 546, 786, 917, 1703, 1834, 2751, 3406, 5109, 5502, 10218, 11921, 23842, 35763

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71520 and 71526. The biggest common factor number is the GCF number.
So the greatest common factor 71520 and 71526 is 6.

Also check out the Least Common Multiple of 71520 and 71526