What is the Greatest Common Factor of 29512 and 29528?

Greatest common factor (GCF) of 29512 and 29528 is 8.

GCF(29512,29528) = 8

We will now calculate the prime factors of 29512 and 29528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29512 and 29528.

How to find the GCF of 29512 and 29528?

We will first find the prime factorization of 29512 and 29528. After we will calculate the factors of 29512 and 29528 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 29528

Prime factors of 29528 are 2, 3691. Prime factorization of 29528 in exponential form is:

29528 = 2³ × 3691¹

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 29528

List of positive integer factors of 29528 that divides 29512 without a remainder.

1, 2, 4, 8, 3691, 7382, 14764

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29512 and 29528. The biggest common factor number is the GCF number.
So the greatest common factor 29512 and 29528 is 8.

Also check out the Least Common Multiple of 29512 and 29528