What is the Greatest Common Factor of 71526 and 71540?

Greatest common factor (GCF) of 71526 and 71540 is 14.

GCF(71526,71540) = 14

We will now calculate the prime factors of 71526 and 71540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71526 and 71540.

How to find the GCF of 71526 and 71540?

We will first find the prime factorization of 71526 and 71540. After we will calculate the factors of 71526 and 71540 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 71540

Prime factors of 71540 are 2, 5, 7, 73. Prime factorization of 71540 in exponential form is:

71540 = 2² × 5¹ × 7² × 73¹

Step-3: Factors of 71526

List of positive integer factors of 71526 that divides 71526 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

Step-4: Factors of 71540

List of positive integer factors of 71540 that divides 71526 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 73, 98, 140, 146, 196, 245, 292, 365, 490, 511, 730, 980, 1022, 1460, 2044, 2555, 3577, 5110, 7154, 10220, 14308, 17885, 35770

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71526 and 71540. The biggest common factor number is the GCF number.
So the greatest common factor 71526 and 71540 is 14.

Also check out the Least Common Multiple of 71526 and 71540