What is the Greatest Common Factor of 29775 and 29780?

Greatest common factor (GCF) of 29775 and 29780 is 5.

GCF(29775,29780) = 5

We will now calculate the prime factors of 29775 and 29780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29775 and 29780.

How to find the GCF of 29775 and 29780?

We will first find the prime factorization of 29775 and 29780. After we will calculate the factors of 29775 and 29780 and find the biggest common factor number .

Step-1: Prime Factorization of 29775

Prime factors of 29775 are 3, 5, 397. Prime factorization of 29775 in exponential form is:

29775 = 3¹ × 5² × 397¹

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 29775

List of positive integer factors of 29775 that divides 29775 without a remainder.

1, 3, 5, 15, 25, 75, 397, 1191, 1985, 5955, 9925

Step-4: Factors of 29780

List of positive integer factors of 29780 that divides 29775 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 29775 and 29780. The biggest common factor number is the GCF number.
So the greatest common factor 29775 and 29780 is 5.

Also check out the Least Common Multiple of 29775 and 29780