What is the Greatest Common Factor of 78546 and 78555?

Greatest common factor (GCF) of 78546 and 78555 is 3.

GCF(78546,78555) = 3

We will now calculate the prime factors of 78546 and 78555, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78546 and 78555.

How to find the GCF of 78546 and 78555?

We will first find the prime factorization of 78546 and 78555. After we will calculate the factors of 78546 and 78555 and find the biggest common factor number .

Step-1: Prime Factorization of 78546

Prime factors of 78546 are 2, 3, 13, 19, 53. Prime factorization of 78546 in exponential form is:

78546 = 2¹ × 3¹ × 13¹ × 19¹ × 53¹

Step-2: Prime Factorization of 78555

Prime factors of 78555 are 3, 5, 5237. Prime factorization of 78555 in exponential form is:

78555 = 3¹ × 5¹ × 5237¹

Step-3: Factors of 78546

List of positive integer factors of 78546 that divides 78546 without a remainder.

1, 2, 3, 6, 13, 19, 26, 38, 39, 53, 57, 78, 106, 114, 159, 247, 318, 494, 689, 741, 1007, 1378, 1482, 2014, 2067, 3021, 4134, 6042, 13091, 26182, 39273

Step-4: Factors of 78555

List of positive integer factors of 78555 that divides 78546 without a remainder.

1, 3, 5, 15, 5237, 15711, 26185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78546 and 78555. The biggest common factor number is the GCF number.
So the greatest common factor 78546 and 78555 is 3.

Also check out the Least Common Multiple of 78546 and 78555