What is the Greatest Common Factor of 29526 and 29543?

Greatest common factor (GCF) of 29526 and 29543 is 1.

GCF(29526,29543) = 1

We will now calculate the prime factors of 29526 and 29543, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29526 and 29543.

How to find the GCF of 29526 and 29543?

We will first find the prime factorization of 29526 and 29543. After we will calculate the factors of 29526 and 29543 and find the biggest common factor number .

Step-1: Prime Factorization of 29526

Prime factors of 29526 are 2, 3, 7, 19, 37. Prime factorization of 29526 in exponential form is:

29526 = 2¹ × 3¹ × 7¹ × 19¹ × 37¹

Step-2: Prime Factorization of 29543

Prime factors of 29543 are 31, 953. Prime factorization of 29543 in exponential form is:

29543 = 31¹ × 953¹

Step-3: Factors of 29526

List of positive integer factors of 29526 that divides 29526 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 37, 38, 42, 57, 74, 111, 114, 133, 222, 259, 266, 399, 518, 703, 777, 798, 1406, 1554, 2109, 4218, 4921, 9842, 14763

Step-4: Factors of 29543

List of positive integer factors of 29543 that divides 29526 without a remainder.

1, 31, 953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29526 and 29543. The biggest common factor number is the GCF number.
So the greatest common factor 29526 and 29543 is 1.

Also check out the Least Common Multiple of 29526 and 29543