What is the Greatest Common Factor of 78498 and 78516?

Greatest common factor (GCF) of 78498 and 78516 is 18.

GCF(78498,78516) = 18

We will now calculate the prime factors of 78498 and 78516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78498 and 78516.

How to find the GCF of 78498 and 78516?

We will first find the prime factorization of 78498 and 78516. After we will calculate the factors of 78498 and 78516 and find the biggest common factor number .

Step-1: Prime Factorization of 78498

Prime factors of 78498 are 2, 3, 7, 89. Prime factorization of 78498 in exponential form is:

78498 = 2¹ × 3² × 7² × 89¹

Step-2: Prime Factorization of 78516

Prime factors of 78516 are 2, 3, 727. Prime factorization of 78516 in exponential form is:

78516 = 2² × 3³ × 727¹

Step-3: Factors of 78498

List of positive integer factors of 78498 that divides 78498 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 89, 98, 126, 147, 178, 267, 294, 441, 534, 623, 801, 882, 1246, 1602, 1869, 3738, 4361, 5607, 8722, 11214, 13083, 26166, 39249

Step-4: Factors of 78516

List of positive integer factors of 78516 that divides 78498 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 727, 1454, 2181, 2908, 4362, 6543, 8724, 13086, 19629, 26172, 39258

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78498 and 78516. The biggest common factor number is the GCF number.
So the greatest common factor 78498 and 78516 is 18.

Also check out the Least Common Multiple of 78498 and 78516