What is the Greatest Common Factor of 29645 and 29660?

Greatest common factor (GCF) of 29645 and 29660 is 5.

GCF(29645,29660) = 5

We will now calculate the prime factors of 29645 and 29660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29645 and 29660.

How to find the GCF of 29645 and 29660?

We will first find the prime factorization of 29645 and 29660. After we will calculate the factors of 29645 and 29660 and find the biggest common factor number .

Step-1: Prime Factorization of 29645

Prime factors of 29645 are 5, 7, 11. Prime factorization of 29645 in exponential form is:

29645 = 5¹ × 7² × 11²

Step-2: Prime Factorization of 29660

Prime factors of 29660 are 2, 5, 1483. Prime factorization of 29660 in exponential form is:

29660 = 2² × 5¹ × 1483¹

Step-3: Factors of 29645

List of positive integer factors of 29645 that divides 29645 without a remainder.

1, 5, 7, 11, 35, 49, 55, 77, 121, 245, 385, 539, 605, 847, 2695, 4235, 5929

Step-4: Factors of 29660

List of positive integer factors of 29660 that divides 29645 without a remainder.

1, 2, 4, 5, 10, 20, 1483, 2966, 5932, 7415, 14830

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29645 and 29660. The biggest common factor number is the GCF number.
So the greatest common factor 29645 and 29660 is 5.

Also check out the Least Common Multiple of 29645 and 29660