What is the Greatest Common Factor of 29264 and 29276?

Greatest common factor (GCF) of 29264 and 29276 is 4.

GCF(29264,29276) = 4

We will now calculate the prime factors of 29264 and 29276, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29264 and 29276.

How to find the GCF of 29264 and 29276?

We will first find the prime factorization of 29264 and 29276. After we will calculate the factors of 29264 and 29276 and find the biggest common factor number .

Step-1: Prime Factorization of 29264

Prime factors of 29264 are 2, 31, 59. Prime factorization of 29264 in exponential form is:

29264 = 2⁴ × 31¹ × 59¹

Step-2: Prime Factorization of 29276

Prime factors of 29276 are 2, 13, 563. Prime factorization of 29276 in exponential form is:

29276 = 2² × 13¹ × 563¹

Step-3: Factors of 29264

List of positive integer factors of 29264 that divides 29264 without a remainder.

1, 2, 4, 8, 16, 31, 59, 62, 118, 124, 236, 248, 472, 496, 944, 1829, 3658, 7316, 14632

Step-4: Factors of 29276

List of positive integer factors of 29276 that divides 29264 without a remainder.

1, 2, 4, 13, 26, 52, 563, 1126, 2252, 7319, 14638

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29264 and 29276. The biggest common factor number is the GCF number.
So the greatest common factor 29264 and 29276 is 4.

Also check out the Least Common Multiple of 29264 and 29276