What is the Greatest Common Factor of 87842 and 87862?

Greatest common factor (GCF) of 87842 and 87862 is 2.

GCF(87842,87862) = 2

We will now calculate the prime factors of 87842 and 87862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87842 and 87862.

How to find the GCF of 87842 and 87862?

We will first find the prime factorization of 87842 and 87862. After we will calculate the factors of 87842 and 87862 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87862

Prime factors of 87862 are 2, 197, 223. Prime factorization of 87862 in exponential form is:

87862 = 2¹ × 197¹ × 223¹

Step-3: Factors of 87842

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

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

Step-4: Factors of 87862

List of positive integer factors of 87862 that divides 87842 without a remainder.

1, 2, 197, 223, 394, 446, 43931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87842 and 87862. The biggest common factor number is the GCF number.
So the greatest common factor 87842 and 87862 is 2.

Also check out the Least Common Multiple of 87842 and 87862