What is the Greatest Common Factor of 42820 and 42829?

Greatest common factor (GCF) of 42820 and 42829 is 1.

GCF(42820,42829) = 1

We will now calculate the prime factors of 42820 and 42829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42820 and 42829.

How to find the GCF of 42820 and 42829?

We will first find the prime factorization of 42820 and 42829. After we will calculate the factors of 42820 and 42829 and find the biggest common factor number .

Step-1: Prime Factorization of 42820

Prime factors of 42820 are 2, 5, 2141. Prime factorization of 42820 in exponential form is:

42820 = 2² × 5¹ × 2141¹

Step-2: Prime Factorization of 42829

Prime factors of 42829 are 42829. Prime factorization of 42829 in exponential form is:

42829 = 42829¹

Step-3: Factors of 42820

List of positive integer factors of 42820 that divides 42820 without a remainder.

1, 2, 4, 5, 10, 20, 2141, 4282, 8564, 10705, 21410

Step-4: Factors of 42829

List of positive integer factors of 42829 that divides 42820 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42820 and 42829. The biggest common factor number is the GCF number.
So the greatest common factor 42820 and 42829 is 1.

Also check out the Least Common Multiple of 42820 and 42829