What is the Greatest Common Factor of 87476 and 87493?

Greatest common factor (GCF) of 87476 and 87493 is 1.

GCF(87476,87493) = 1

We will now calculate the prime factors of 87476 and 87493, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87476 and 87493.

How to find the GCF of 87476 and 87493?

We will first find the prime factorization of 87476 and 87493. After we will calculate the factors of 87476 and 87493 and find the biggest common factor number .

Step-1: Prime Factorization of 87476

Prime factors of 87476 are 2, 19, 1151. Prime factorization of 87476 in exponential form is:

87476 = 2² × 19¹ × 1151¹

Step-2: Prime Factorization of 87493

Prime factors of 87493 are 7, 29, 431. Prime factorization of 87493 in exponential form is:

87493 = 7¹ × 29¹ × 431¹

Step-3: Factors of 87476

List of positive integer factors of 87476 that divides 87476 without a remainder.

1, 2, 4, 19, 38, 76, 1151, 2302, 4604, 21869, 43738

Step-4: Factors of 87493

List of positive integer factors of 87493 that divides 87476 without a remainder.

1, 7, 29, 203, 431, 3017, 12499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87476 and 87493. The biggest common factor number is the GCF number.
So the greatest common factor 87476 and 87493 is 1.

Also check out the Least Common Multiple of 87476 and 87493