What is the Greatest Common Factor of 87101 and 87115?

Greatest common factor (GCF) of 87101 and 87115 is 7.

GCF(87101,87115) = 7

We will now calculate the prime factors of 87101 and 87115, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87101 and 87115.

How to find the GCF of 87101 and 87115?

We will first find the prime factorization of 87101 and 87115. After we will calculate the factors of 87101 and 87115 and find the biggest common factor number .

Step-1: Prime Factorization of 87101

Prime factors of 87101 are 7, 23, 541. Prime factorization of 87101 in exponential form is:

87101 = 7¹ × 23¹ × 541¹

Step-2: Prime Factorization of 87115

Prime factors of 87115 are 5, 7, 19, 131. Prime factorization of 87115 in exponential form is:

87115 = 5¹ × 7¹ × 19¹ × 131¹

Step-3: Factors of 87101

List of positive integer factors of 87101 that divides 87101 without a remainder.

1, 7, 23, 161, 541, 3787, 12443

Step-4: Factors of 87115

List of positive integer factors of 87115 that divides 87101 without a remainder.

1, 5, 7, 19, 35, 95, 131, 133, 655, 665, 917, 2489, 4585, 12445, 17423

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87101 and 87115. The biggest common factor number is the GCF number.
So the greatest common factor 87101 and 87115 is 7.

Also check out the Least Common Multiple of 87101 and 87115