What is the Greatest Common Factor of 29526 and 29533?

Greatest common factor (GCF) of 29526 and 29533 is 7.

GCF(29526,29533) = 7

We will now calculate the prime factors of 29526 and 29533, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29526 and 29533.

How to find the GCF of 29526 and 29533?

We will first find the prime factorization of 29526 and 29533. After we will calculate the factors of 29526 and 29533 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 29533

Prime factors of 29533 are 7, 4219. Prime factorization of 29533 in exponential form is:

29533 = 7¹ × 4219¹

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 29533

List of positive integer factors of 29533 that divides 29526 without a remainder.

1, 7, 4219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29526 and 29533. The biggest common factor number is the GCF number.
So the greatest common factor 29526 and 29533 is 7.

Also check out the Least Common Multiple of 29526 and 29533