What is the Greatest Common Factor of 87535 and 87555?

Greatest common factor (GCF) of 87535 and 87555 is 5.

GCF(87535,87555) = 5

We will now calculate the prime factors of 87535 and 87555, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87535 and 87555.

How to find the GCF of 87535 and 87555?

We will first find the prime factorization of 87535 and 87555. After we will calculate the factors of 87535 and 87555 and find the biggest common factor number .

Step-1: Prime Factorization of 87535

Prime factors of 87535 are 5, 7, 41, 61. Prime factorization of 87535 in exponential form is:

87535 = 5¹ × 7¹ × 41¹ × 61¹

Step-2: Prime Factorization of 87555

Prime factors of 87555 are 3, 5, 13, 449. Prime factorization of 87555 in exponential form is:

87555 = 3¹ × 5¹ × 13¹ × 449¹

Step-3: Factors of 87535

List of positive integer factors of 87535 that divides 87535 without a remainder.

1, 5, 7, 35, 41, 61, 205, 287, 305, 427, 1435, 2135, 2501, 12505, 17507

Step-4: Factors of 87555

List of positive integer factors of 87555 that divides 87535 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 449, 1347, 2245, 5837, 6735, 17511, 29185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87535 and 87555. The biggest common factor number is the GCF number.
So the greatest common factor 87535 and 87555 is 5.

Also check out the Least Common Multiple of 87535 and 87555