What is the Greatest Common Factor of 78501 and 78518?

Greatest common factor (GCF) of 78501 and 78518 is 1.

GCF(78501,78518) = 1

We will now calculate the prime factors of 78501 and 78518, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78501 and 78518.

How to find the GCF of 78501 and 78518?

We will first find the prime factorization of 78501 and 78518. After we will calculate the factors of 78501 and 78518 and find the biggest common factor number .

Step-1: Prime Factorization of 78501

Prime factors of 78501 are 3, 137, 191. Prime factorization of 78501 in exponential form is:

78501 = 3¹ × 137¹ × 191¹

Step-2: Prime Factorization of 78518

Prime factors of 78518 are 2, 11, 43, 83. Prime factorization of 78518 in exponential form is:

78518 = 2¹ × 11¹ × 43¹ × 83¹

Step-3: Factors of 78501

List of positive integer factors of 78501 that divides 78501 without a remainder.

1, 3, 137, 191, 411, 573, 26167

Step-4: Factors of 78518

List of positive integer factors of 78518 that divides 78501 without a remainder.

1, 2, 11, 22, 43, 83, 86, 166, 473, 913, 946, 1826, 3569, 7138, 39259

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78501 and 78518. The biggest common factor number is the GCF number.
So the greatest common factor 78501 and 78518 is 1.

Also check out the Least Common Multiple of 78501 and 78518