What is the Greatest Common Factor of 29512 and 29526?

Greatest common factor (GCF) of 29512 and 29526 is 14.

GCF(29512,29526) = 14

We will now calculate the prime factors of 29512 and 29526, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29512 and 29526.

How to find the GCF of 29512 and 29526?

We will first find the prime factorization of 29512 and 29526. After we will calculate the factors of 29512 and 29526 and find the biggest common factor number .

Step-1: Prime Factorization of 29512

Prime factors of 29512 are 2, 7, 17, 31. Prime factorization of 29512 in exponential form is:

29512 = 2³ × 7¹ × 17¹ × 31¹

Step-2: 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-3: Factors of 29512

List of positive integer factors of 29512 that divides 29512 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 31, 34, 56, 62, 68, 119, 124, 136, 217, 238, 248, 434, 476, 527, 868, 952, 1054, 1736, 2108, 3689, 4216, 7378, 14756

Step-4: Factors of 29526

List of positive integer factors of 29526 that divides 29512 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29512 and 29526. The biggest common factor number is the GCF number.
So the greatest common factor 29512 and 29526 is 14.

Also check out the Least Common Multiple of 29512 and 29526