What is the Greatest Common Factor of 87848 and 87854?

Greatest common factor (GCF) of 87848 and 87854 is 2.

GCF(87848,87854) = 2

We will now calculate the prime factors of 87848 and 87854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87848 and 87854.

How to find the GCF of 87848 and 87854?

We will first find the prime factorization of 87848 and 87854. After we will calculate the factors of 87848 and 87854 and find the biggest common factor number .

Step-1: Prime Factorization of 87848

Prime factors of 87848 are 2, 79, 139. Prime factorization of 87848 in exponential form is:

87848 = 2³ × 79¹ × 139¹

Step-2: Prime Factorization of 87854

Prime factors of 87854 are 2, 13, 31, 109. Prime factorization of 87854 in exponential form is:

87854 = 2¹ × 13¹ × 31¹ × 109¹

Step-3: Factors of 87848

List of positive integer factors of 87848 that divides 87848 without a remainder.

1, 2, 4, 8, 79, 139, 158, 278, 316, 556, 632, 1112, 10981, 21962, 43924

Step-4: Factors of 87854

List of positive integer factors of 87854 that divides 87848 without a remainder.

1, 2, 13, 26, 31, 62, 109, 218, 403, 806, 1417, 2834, 3379, 6758, 43927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87848 and 87854. The biggest common factor number is the GCF number.
So the greatest common factor 87848 and 87854 is 2.

Also check out the Least Common Multiple of 87848 and 87854