What is the Greatest Common Factor of 87458 and 87463?

Greatest common factor (GCF) of 87458 and 87463 is 1.

GCF(87458,87463) = 1

We will now calculate the prime factors of 87458 and 87463, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87458 and 87463.

How to find the GCF of 87458 and 87463?

We will first find the prime factorization of 87458 and 87463. After we will calculate the factors of 87458 and 87463 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 87463

Prime factors of 87463 are 149, 587. Prime factorization of 87463 in exponential form is:

87463 = 149¹ × 587¹

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 87463

List of positive integer factors of 87463 that divides 87458 without a remainder.

1, 149, 587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87458 and 87463. The biggest common factor number is the GCF number.
So the greatest common factor 87458 and 87463 is 1.

Also check out the Least Common Multiple of 87458 and 87463