What is the Greatest Common Factor of 87153 and 87164?

Greatest common factor (GCF) of 87153 and 87164 is 11.

GCF(87153,87164) = 11

We will now calculate the prime factors of 87153 and 87164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87153 and 87164.

How to find the GCF of 87153 and 87164?

We will first find the prime factorization of 87153 and 87164. After we will calculate the factors of 87153 and 87164 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87164

Prime factors of 87164 are 2, 7, 11, 283. Prime factorization of 87164 in exponential form is:

87164 = 2² × 7¹ × 11¹ × 283¹

Step-3: Factors of 87153

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

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

Step-4: Factors of 87164

List of positive integer factors of 87164 that divides 87153 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 283, 308, 566, 1132, 1981, 3113, 3962, 6226, 7924, 12452, 21791, 43582

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87153 and 87164. The biggest common factor number is the GCF number.
So the greatest common factor 87153 and 87164 is 11.

Also check out the Least Common Multiple of 87153 and 87164