What is the Greatest Common Factor of 87830 and 87842?

Greatest common factor (GCF) of 87830 and 87842 is 2.

GCF(87830,87842) = 2

We will now calculate the prime factors of 87830 and 87842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87830 and 87842.

How to find the GCF of 87830 and 87842?

We will first find the prime factorization of 87830 and 87842. After we will calculate the factors of 87830 and 87842 and find the biggest common factor number .

Step-1: Prime Factorization of 87830

Prime factors of 87830 are 2, 5, 8783. Prime factorization of 87830 in exponential form is:

87830 = 2¹ × 5¹ × 8783¹

Step-2: Prime Factorization of 87842

Prime factors of 87842 are 2, 167, 263. Prime factorization of 87842 in exponential form is:

87842 = 2¹ × 167¹ × 263¹

Step-3: Factors of 87830

List of positive integer factors of 87830 that divides 87830 without a remainder.

1, 2, 5, 10, 8783, 17566, 43915

Step-4: Factors of 87842

List of positive integer factors of 87842 that divides 87830 without a remainder.

1, 2, 167, 263, 334, 526, 43921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87830 and 87842. The biggest common factor number is the GCF number.
So the greatest common factor 87830 and 87842 is 2.

Also check out the Least Common Multiple of 87830 and 87842