What is the Greatest Common Factor of 29264 and 29281?

Greatest common factor (GCF) of 29264 and 29281 is 1.

GCF(29264,29281) = 1

We will now calculate the prime factors of 29264 and 29281, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29264 and 29281.

How to find the GCF of 29264 and 29281?

We will first find the prime factorization of 29264 and 29281. After we will calculate the factors of 29264 and 29281 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 29281

Prime factors of 29281 are 7, 47, 89. Prime factorization of 29281 in exponential form is:

29281 = 7¹ × 47¹ × 89¹

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 29281

List of positive integer factors of 29281 that divides 29264 without a remainder.

1, 7, 47, 89, 329, 623, 4183

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29264 and 29281. The biggest common factor number is the GCF number.
So the greatest common factor 29264 and 29281 is 1.

Also check out the Least Common Multiple of 29264 and 29281