What is the Greatest Common Factor of 42880 and 42897?

Greatest common factor (GCF) of 42880 and 42897 is 1.

GCF(42880,42897) = 1

We will now calculate the prime factors of 42880 and 42897, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42880 and 42897.

How to find the GCF of 42880 and 42897?

We will first find the prime factorization of 42880 and 42897. After we will calculate the factors of 42880 and 42897 and find the biggest common factor number .

Step-1: Prime Factorization of 42880

Prime factors of 42880 are 2, 5, 67. Prime factorization of 42880 in exponential form is:

42880 = 2⁷ × 5¹ × 67¹

Step-2: Prime Factorization of 42897

Prime factors of 42897 are 3, 79, 181. Prime factorization of 42897 in exponential form is:

42897 = 3¹ × 79¹ × 181¹

Step-3: Factors of 42880

List of positive integer factors of 42880 that divides 42880 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 67, 80, 128, 134, 160, 268, 320, 335, 536, 640, 670, 1072, 1340, 2144, 2680, 4288, 5360, 8576, 10720, 21440

Step-4: Factors of 42897

List of positive integer factors of 42897 that divides 42880 without a remainder.

1, 3, 79, 181, 237, 543, 14299

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42880 and 42897. The biggest common factor number is the GCF number.
So the greatest common factor 42880 and 42897 is 1.

Also check out the Least Common Multiple of 42880 and 42897