What is the Greatest Common Factor of 29280 and 29290?

Greatest common factor (GCF) of 29280 and 29290 is 10.

GCF(29280,29290) = 10

We will now calculate the prime factors of 29280 and 29290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29280 and 29290.

How to find the GCF of 29280 and 29290?

We will first find the prime factorization of 29280 and 29290. After we will calculate the factors of 29280 and 29290 and find the biggest common factor number .

Step-1: Prime Factorization of 29280

Prime factors of 29280 are 2, 3, 5, 61. Prime factorization of 29280 in exponential form is:

29280 = 2⁵ × 3¹ × 5¹ × 61¹

Step-2: Prime Factorization of 29290

Prime factors of 29290 are 2, 5, 29, 101. Prime factorization of 29290 in exponential form is:

29290 = 2¹ × 5¹ × 29¹ × 101¹

Step-3: Factors of 29280

List of positive integer factors of 29280 that divides 29280 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 61, 80, 96, 120, 122, 160, 183, 240, 244, 305, 366, 480, 488, 610, 732, 915, 976, 1220, 1464, 1830, 1952, 2440, 2928, 3660, 4880, 5856, 7320, 9760, 14640

Step-4: Factors of 29290

List of positive integer factors of 29290 that divides 29280 without a remainder.

1, 2, 5, 10, 29, 58, 101, 145, 202, 290, 505, 1010, 2929, 5858, 14645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29280 and 29290. The biggest common factor number is the GCF number.
So the greatest common factor 29280 and 29290 is 10.

Also check out the Least Common Multiple of 29280 and 29290