What is the Greatest Common Factor of 29270 and 29280?

Greatest common factor (GCF) of 29270 and 29280 is 10.

GCF(29270,29280) = 10

We will now calculate the prime factors of 29270 and 29280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29270 and 29280.

How to find the GCF of 29270 and 29280?

We will first find the prime factorization of 29270 and 29280. After we will calculate the factors of 29270 and 29280 and find the biggest common factor number .

Step-1: Prime Factorization of 29270

Prime factors of 29270 are 2, 5, 2927. Prime factorization of 29270 in exponential form is:

29270 = 2¹ × 5¹ × 2927¹

Step-2: 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-3: Factors of 29270

List of positive integer factors of 29270 that divides 29270 without a remainder.

1, 2, 5, 10, 2927, 5854, 14635

Step-4: Factors of 29280

List of positive integer factors of 29280 that divides 29270 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29270 and 29280. The biggest common factor number is the GCF number.
So the greatest common factor 29270 and 29280 is 10.

Also check out the Least Common Multiple of 29270 and 29280