What is the Greatest Common Factor of 29514 and 29532?

Greatest common factor (GCF) of 29514 and 29532 is 6.

GCF(29514,29532) = 6

We will now calculate the prime factors of 29514 and 29532, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29514 and 29532.

How to find the GCF of 29514 and 29532?

We will first find the prime factorization of 29514 and 29532. After we will calculate the factors of 29514 and 29532 and find the biggest common factor number .

Step-1: Prime Factorization of 29514

Prime factors of 29514 are 2, 3, 4919. Prime factorization of 29514 in exponential form is:

29514 = 2¹ × 3¹ × 4919¹

Step-2: Prime Factorization of 29532

Prime factors of 29532 are 2, 3, 23, 107. Prime factorization of 29532 in exponential form is:

29532 = 2² × 3¹ × 23¹ × 107¹

Step-3: Factors of 29514

List of positive integer factors of 29514 that divides 29514 without a remainder.

1, 2, 3, 6, 4919, 9838, 14757

Step-4: Factors of 29532

List of positive integer factors of 29532 that divides 29514 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 107, 138, 214, 276, 321, 428, 642, 1284, 2461, 4922, 7383, 9844, 14766

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29514 and 29532. The biggest common factor number is the GCF number.
So the greatest common factor 29514 and 29532 is 6.

Also check out the Least Common Multiple of 29514 and 29532