What is the Greatest Common Factor of 71526 and 71538?

Greatest common factor (GCF) of 71526 and 71538 is 6.

GCF(71526,71538) = 6

We will now calculate the prime factors of 71526 and 71538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71526 and 71538.

How to find the GCF of 71526 and 71538?

We will first find the prime factorization of 71526 and 71538. After we will calculate the factors of 71526 and 71538 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 71538

Prime factors of 71538 are 2, 3, 11923. Prime factorization of 71538 in exponential form is:

71538 = 2¹ × 3¹ × 11923¹

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 71538

List of positive integer factors of 71538 that divides 71526 without a remainder.

1, 2, 3, 6, 11923, 23846, 35769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71526 and 71538. The biggest common factor number is the GCF number.
So the greatest common factor 71526 and 71538 is 6.

Also check out the Least Common Multiple of 71526 and 71538