What is the Greatest Common Factor of 87142 and 87153?

Greatest common factor (GCF) of 87142 and 87153 is 11.

GCF(87142,87153) = 11

We will now calculate the prime factors of 87142 and 87153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87142 and 87153.

How to find the GCF of 87142 and 87153?

We will first find the prime factorization of 87142 and 87153. After we will calculate the factors of 87142 and 87153 and find the biggest common factor number .

Step-1: Prime Factorization of 87142

Prime factors of 87142 are 2, 11, 17, 233. Prime factorization of 87142 in exponential form is:

87142 = 2¹ × 11¹ × 17¹ × 233¹

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 87142

List of positive integer factors of 87142 that divides 87142 without a remainder.

1, 2, 11, 17, 22, 34, 187, 233, 374, 466, 2563, 3961, 5126, 7922, 43571

Step-4: Factors of 87153

List of positive integer factors of 87153 that divides 87142 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 87142 and 87153. The biggest common factor number is the GCF number.
So the greatest common factor 87142 and 87153 is 11.

Also check out the Least Common Multiple of 87142 and 87153