What is the Greatest Common Factor of 29264 and 29279?

Greatest common factor (GCF) of 29264 and 29279 is 1.

GCF(29264,29279) = 1

We will now calculate the prime factors of 29264 and 29279, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29264 and 29279.

How to find the GCF of 29264 and 29279?

We will first find the prime factorization of 29264 and 29279. After we will calculate the factors of 29264 and 29279 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 29279

Prime factors of 29279 are 19, 23, 67. Prime factorization of 29279 in exponential form is:

29279 = 19¹ × 23¹ × 67¹

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 29279

List of positive integer factors of 29279 that divides 29264 without a remainder.

1, 19, 23, 67, 437, 1273, 1541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29264 and 29279. The biggest common factor number is the GCF number.
So the greatest common factor 29264 and 29279 is 1.

Also check out the Least Common Multiple of 29264 and 29279