What is the Greatest Common Factor of 87138 and 87153?

Greatest common factor (GCF) of 87138 and 87153 is 3.

GCF(87138,87153) = 3

We will now calculate the prime factors of 87138 and 87153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87138 and 87153.

How to find the GCF of 87138 and 87153?

We will first find the prime factorization of 87138 and 87153. After we will calculate the factors of 87138 and 87153 and find the biggest common factor number .

Step-1: Prime Factorization of 87138

Prime factors of 87138 are 2, 3, 47, 103. Prime factorization of 87138 in exponential form is:

87138 = 2¹ × 3² × 47¹ × 103¹

Step-2: Prime Factorization of 87153

Prime factors of 87153 are 3, 11, 19, 139. Prime factorization of 87153 in exponential form is:

87153 = 3¹ × 11¹ × 19¹ × 139¹

Step-3: Factors of 87138

List of positive integer factors of 87138 that divides 87138 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 103, 141, 206, 282, 309, 423, 618, 846, 927, 1854, 4841, 9682, 14523, 29046, 43569

Step-4: Factors of 87153

List of positive integer factors of 87153 that divides 87138 without a remainder.

1, 3, 11, 19, 33, 57, 139, 209, 417, 627, 1529, 2641, 4587, 7923, 29051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87138 and 87153. The biggest common factor number is the GCF number.
So the greatest common factor 87138 and 87153 is 3.

Also check out the Least Common Multiple of 87138 and 87153