What is the Greatest Common Factor of 87495 and 87501?

Greatest common factor (GCF) of 87495 and 87501 is 3.

GCF(87495,87501) = 3

We will now calculate the prime factors of 87495 and 87501, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87495 and 87501.

How to find the GCF of 87495 and 87501?

We will first find the prime factorization of 87495 and 87501. After we will calculate the factors of 87495 and 87501 and find the biggest common factor number .

Step-1: Prime Factorization of 87495

Prime factors of 87495 are 3, 5, 19, 307. Prime factorization of 87495 in exponential form is:

87495 = 3¹ × 5¹ × 19¹ × 307¹

Step-2: Prime Factorization of 87501

Prime factors of 87501 are 3, 29167. Prime factorization of 87501 in exponential form is:

87501 = 3¹ × 29167¹

Step-3: Factors of 87495

List of positive integer factors of 87495 that divides 87495 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285, 307, 921, 1535, 4605, 5833, 17499, 29165

Step-4: Factors of 87501

List of positive integer factors of 87501 that divides 87495 without a remainder.

1, 3, 29167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87495 and 87501. The biggest common factor number is the GCF number.
So the greatest common factor 87495 and 87501 is 3.

Also check out the Least Common Multiple of 87495 and 87501