What is the Greatest Common Factor of 42889 and 42901?

Greatest common factor (GCF) of 42889 and 42901 is 1.

GCF(42889,42901) = 1

We will now calculate the prime factors of 42889 and 42901, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42889 and 42901.

How to find the GCF of 42889 and 42901?

We will first find the prime factorization of 42889 and 42901. After we will calculate the factors of 42889 and 42901 and find the biggest common factor number .

Step-1: Prime Factorization of 42889

Prime factors of 42889 are 7, 11, 557. Prime factorization of 42889 in exponential form is:

42889 = 7¹ × 11¹ × 557¹

Step-2: Prime Factorization of 42901

Prime factors of 42901 are 42901. Prime factorization of 42901 in exponential form is:

42901 = 42901¹

Step-3: Factors of 42889

List of positive integer factors of 42889 that divides 42889 without a remainder.

1, 7, 11, 77, 557, 3899, 6127

Step-4: Factors of 42901

List of positive integer factors of 42901 that divides 42889 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42889 and 42901. The biggest common factor number is the GCF number.
So the greatest common factor 42889 and 42901 is 1.

Also check out the Least Common Multiple of 42889 and 42901