What is the Greatest Common Factor of 79509 and 79518?

Greatest common factor (GCF) of 79509 and 79518 is 3.

GCF(79509,79518) = 3

We will now calculate the prime factors of 79509 and 79518, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79509 and 79518.

How to find the GCF of 79509 and 79518?

We will first find the prime factorization of 79509 and 79518. After we will calculate the factors of 79509 and 79518 and find the biggest common factor number .

Step-1: Prime Factorization of 79509

Prime factors of 79509 are 3, 17, 1559. Prime factorization of 79509 in exponential form is:

79509 = 3¹ × 17¹ × 1559¹

Step-2: Prime Factorization of 79518

Prime factors of 79518 are 2, 3, 29, 457. Prime factorization of 79518 in exponential form is:

79518 = 2¹ × 3¹ × 29¹ × 457¹

Step-3: Factors of 79509

List of positive integer factors of 79509 that divides 79509 without a remainder.

1, 3, 17, 51, 1559, 4677, 26503

Step-4: Factors of 79518

List of positive integer factors of 79518 that divides 79509 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 457, 914, 1371, 2742, 13253, 26506, 39759

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79509 and 79518. The biggest common factor number is the GCF number.
So the greatest common factor 79509 and 79518 is 3.

Also check out the Least Common Multiple of 79509 and 79518