What is the Greatest Common Factor of 71526 and 71531?

Greatest common factor (GCF) of 71526 and 71531 is 1.

GCF(71526,71531) = 1

We will now calculate the prime factors of 71526 and 71531, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71526 and 71531.

How to find the GCF of 71526 and 71531?

We will first find the prime factorization of 71526 and 71531. After we will calculate the factors of 71526 and 71531 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 71531

Prime factors of 71531 are 233, 307. Prime factorization of 71531 in exponential form is:

71531 = 233¹ × 307¹

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 71531

List of positive integer factors of 71531 that divides 71526 without a remainder.

1, 233, 307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71526 and 71531. The biggest common factor number is the GCF number.
So the greatest common factor 71526 and 71531 is 1.

Also check out the Least Common Multiple of 71526 and 71531