What is the Greatest Common Factor of 29760 and 29767?

Greatest common factor (GCF) of 29760 and 29767 is 1.

GCF(29760,29767) = 1

We will now calculate the prime factors of 29760 and 29767, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29760 and 29767.

How to find the GCF of 29760 and 29767?

We will first find the prime factorization of 29760 and 29767. After we will calculate the factors of 29760 and 29767 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 29767

Prime factors of 29767 are 17, 103. Prime factorization of 29767 in exponential form is:

29767 = 17² × 103¹

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 29767

List of positive integer factors of 29767 that divides 29760 without a remainder.

1, 17, 103, 289, 1751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29760 and 29767. The biggest common factor number is the GCF number.
So the greatest common factor 29760 and 29767 is 1.

Also check out the Least Common Multiple of 29760 and 29767