What is the Greatest Common Factor of 78546 and 78552?

Greatest common factor (GCF) of 78546 and 78552 is 6.

GCF(78546,78552) = 6

We will now calculate the prime factors of 78546 and 78552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78546 and 78552.

How to find the GCF of 78546 and 78552?

We will first find the prime factorization of 78546 and 78552. After we will calculate the factors of 78546 and 78552 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 78552

Prime factors of 78552 are 2, 3, 1091. Prime factorization of 78552 in exponential form is:

78552 = 2³ × 3² × 1091¹

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 78552

List of positive integer factors of 78552 that divides 78546 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1091, 2182, 3273, 4364, 6546, 8728, 9819, 13092, 19638, 26184, 39276

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78546 and 78552. The biggest common factor number is the GCF number.
So the greatest common factor 78546 and 78552 is 6.

Also check out the Least Common Multiple of 78546 and 78552