What is the Greatest Common Factor of 29464 and 29469?

Greatest common factor (GCF) of 29464 and 29469 is 1.

GCF(29464,29469) = 1

We will now calculate the prime factors of 29464 and 29469, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29464 and 29469.

How to find the GCF of 29464 and 29469?

We will first find the prime factorization of 29464 and 29469. After we will calculate the factors of 29464 and 29469 and find the biggest common factor number .

Step-1: Prime Factorization of 29464

Prime factors of 29464 are 2, 29, 127. Prime factorization of 29464 in exponential form is:

29464 = 2³ × 29¹ × 127¹

Step-2: Prime Factorization of 29469

Prime factors of 29469 are 3, 11, 19, 47. Prime factorization of 29469 in exponential form is:

29469 = 3¹ × 11¹ × 19¹ × 47¹

Step-3: Factors of 29464

List of positive integer factors of 29464 that divides 29464 without a remainder.

1, 2, 4, 8, 29, 58, 116, 127, 232, 254, 508, 1016, 3683, 7366, 14732

Step-4: Factors of 29469

List of positive integer factors of 29469 that divides 29464 without a remainder.

1, 3, 11, 19, 33, 47, 57, 141, 209, 517, 627, 893, 1551, 2679, 9823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29464 and 29469. The biggest common factor number is the GCF number.
So the greatest common factor 29464 and 29469 is 1.

Also check out the Least Common Multiple of 29464 and 29469