What is the Greatest Common Factor of 29463 and 29477?

Greatest common factor (GCF) of 29463 and 29477 is 7.

GCF(29463,29477) = 7

We will now calculate the prime factors of 29463 and 29477, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29463 and 29477.

How to find the GCF of 29463 and 29477?

We will first find the prime factorization of 29463 and 29477. After we will calculate the factors of 29463 and 29477 and find the biggest common factor number .

Step-1: Prime Factorization of 29463

Prime factors of 29463 are 3, 7, 23, 61. Prime factorization of 29463 in exponential form is:

29463 = 3¹ × 7¹ × 23¹ × 61¹

Step-2: Prime Factorization of 29477

Prime factors of 29477 are 7, 4211. Prime factorization of 29477 in exponential form is:

29477 = 7¹ × 4211¹

Step-3: Factors of 29463

List of positive integer factors of 29463 that divides 29463 without a remainder.

1, 3, 7, 21, 23, 61, 69, 161, 183, 427, 483, 1281, 1403, 4209, 9821

Step-4: Factors of 29477

List of positive integer factors of 29477 that divides 29463 without a remainder.

1, 7, 4211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29463 and 29477. The biggest common factor number is the GCF number.
So the greatest common factor 29463 and 29477 is 7.

Also check out the Least Common Multiple of 29463 and 29477