What is the Greatest Common Factor of 29760 and 29779?

Greatest common factor (GCF) of 29760 and 29779 is 1.

GCF(29760,29779) = 1

We will now calculate the prime factors of 29760 and 29779, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29760 and 29779.

How to find the GCF of 29760 and 29779?

We will first find the prime factorization of 29760 and 29779. After we will calculate the factors of 29760 and 29779 and find the biggest common factor number .

Step-1: Prime Factorization of 29760

Prime factors of 29760 are 2, 3, 5, 31. Prime factorization of 29760 in exponential form is:

29760 = 2⁶ × 3¹ × 5¹ × 31¹

Step-2: Prime Factorization of 29779

Prime factors of 29779 are 97, 307. Prime factorization of 29779 in exponential form is:

29779 = 97¹ × 307¹

Step-3: Factors of 29760

List of positive integer factors of 29760 that divides 29760 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 31, 32, 40, 48, 60, 62, 64, 80, 93, 96, 120, 124, 155, 160, 186, 192, 240, 248, 310, 320, 372, 465, 480, 496, 620, 744, 930, 960, 992, 1240, 1488, 1860, 1984, 2480, 2976, 3720, 4960, 5952, 7440, 9920, 14880

Step-4: Factors of 29779

List of positive integer factors of 29779 that divides 29760 without a remainder.

1, 97, 307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29760 and 29779. The biggest common factor number is the GCF number.
So the greatest common factor 29760 and 29779 is 1.

Also check out the Least Common Multiple of 29760 and 29779