What is the Greatest Common Factor of 87494 and 87509?

Greatest common factor (GCF) of 87494 and 87509 is 1.

GCF(87494,87509) = 1

We will now calculate the prime factors of 87494 and 87509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87494 and 87509.

How to find the GCF of 87494 and 87509?

We will first find the prime factorization of 87494 and 87509. After we will calculate the factors of 87494 and 87509 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 87509

Prime factors of 87509 are 87509. Prime factorization of 87509 in exponential form is:

87509 = 87509¹

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 87509

List of positive integer factors of 87509 that divides 87494 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87494 and 87509. The biggest common factor number is the GCF number.
So the greatest common factor 87494 and 87509 is 1.

Also check out the Least Common Multiple of 87494 and 87509