What is the Greatest Common Factor of 29760 and 29773?

Greatest common factor (GCF) of 29760 and 29773 is 1.

GCF(29760,29773) = 1

We will now calculate the prime factors of 29760 and 29773, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29760 and 29773.

How to find the GCF of 29760 and 29773?

We will first find the prime factorization of 29760 and 29773. After we will calculate the factors of 29760 and 29773 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 29773

Prime factors of 29773 are 19, 1567. Prime factorization of 29773 in exponential form is:

29773 = 19¹ × 1567¹

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 29773

List of positive integer factors of 29773 that divides 29760 without a remainder.

1, 19, 1567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29760 and 29773. The biggest common factor number is the GCF number.
So the greatest common factor 29760 and 29773 is 1.

Also check out the Least Common Multiple of 29760 and 29773