What is the Greatest Common Factor of 78552 and 78560?

Greatest common factor (GCF) of 78552 and 78560 is 8.

GCF(78552,78560) = 8

We will now calculate the prime factors of 78552 and 78560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78552 and 78560.

How to find the GCF of 78552 and 78560?

We will first find the prime factorization of 78552 and 78560. After we will calculate the factors of 78552 and 78560 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 78560

Prime factors of 78560 are 2, 5, 491. Prime factorization of 78560 in exponential form is:

78560 = 2⁵ × 5¹ × 491¹

Step-3: Factors of 78552

List of positive integer factors of 78552 that divides 78552 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

Step-4: Factors of 78560

List of positive integer factors of 78560 that divides 78552 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 491, 982, 1964, 2455, 3928, 4910, 7856, 9820, 15712, 19640, 39280

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78552 and 78560. The biggest common factor number is the GCF number.
So the greatest common factor 78552 and 78560 is 8.

Also check out the Least Common Multiple of 78552 and 78560