What is the Greatest Common Factor of 87494 and 87506?

Greatest common factor (GCF) of 87494 and 87506 is 2.

GCF(87494,87506) = 2

We will now calculate the prime factors of 87494 and 87506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87494 and 87506.

How to find the GCF of 87494 and 87506?

We will first find the prime factorization of 87494 and 87506. After we will calculate the factors of 87494 and 87506 and find the biggest common factor number .

Step-1: Prime Factorization of 87494

Prime factors of 87494 are 2, 11, 41, 97. Prime factorization of 87494 in exponential form is:

87494 = 2¹ × 11¹ × 41¹ × 97¹

Step-2: Prime Factorization of 87506

Prime factors of 87506 are 2, 43753. Prime factorization of 87506 in exponential form is:

87506 = 2¹ × 43753¹

Step-3: Factors of 87494

List of positive integer factors of 87494 that divides 87494 without a remainder.

1, 2, 11, 22, 41, 82, 97, 194, 451, 902, 1067, 2134, 3977, 7954, 43747

Step-4: Factors of 87506

List of positive integer factors of 87506 that divides 87494 without a remainder.

1, 2, 43753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87494 and 87506. The biggest common factor number is the GCF number.
So the greatest common factor 87494 and 87506 is 2.

Also check out the Least Common Multiple of 87494 and 87506