What is the Greatest Common Factor of 29765 and 29780?

Greatest common factor (GCF) of 29765 and 29780 is 5.

GCF(29765,29780) = 5

We will now calculate the prime factors of 29765 and 29780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29765 and 29780.

How to find the GCF of 29765 and 29780?

We will first find the prime factorization of 29765 and 29780. After we will calculate the factors of 29765 and 29780 and find the biggest common factor number .

Step-1: Prime Factorization of 29765

Prime factors of 29765 are 5, 5953. Prime factorization of 29765 in exponential form is:

29765 = 5¹ × 5953¹

Step-2: Prime Factorization of 29780

Prime factors of 29780 are 2, 5, 1489. Prime factorization of 29780 in exponential form is:

29780 = 2² × 5¹ × 1489¹

Step-3: Factors of 29765

List of positive integer factors of 29765 that divides 29765 without a remainder.

1, 5, 5953

Step-4: Factors of 29780

List of positive integer factors of 29780 that divides 29765 without a remainder.

1, 2, 4, 5, 10, 20, 1489, 2978, 5956, 7445, 14890

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29765 and 29780. The biggest common factor number is the GCF number.
So the greatest common factor 29765 and 29780 is 5.

Also check out the Least Common Multiple of 29765 and 29780