What is the Greatest Common Factor of 87458 and 87476?

Greatest common factor (GCF) of 87458 and 87476 is 2.

GCF(87458,87476) = 2

We will now calculate the prime factors of 87458 and 87476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87458 and 87476.

How to find the GCF of 87458 and 87476?

We will first find the prime factorization of 87458 and 87476. After we will calculate the factors of 87458 and 87476 and find the biggest common factor number .

Step-1: Prime Factorization of 87458

Prime factors of 87458 are 2, 7, 6247. Prime factorization of 87458 in exponential form is:

87458 = 2¹ × 7¹ × 6247¹

Step-2: 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-3: Factors of 87458

List of positive integer factors of 87458 that divides 87458 without a remainder.

1, 2, 7, 14, 6247, 12494, 43729

Step-4: Factors of 87476

List of positive integer factors of 87476 that divides 87458 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87458 and 87476. The biggest common factor number is the GCF number.
So the greatest common factor 87458 and 87476 is 2.

Also check out the Least Common Multiple of 87458 and 87476