What is the Greatest Common Factor of 77546 and 77560?

Greatest common factor (GCF) of 77546 and 77560 is 14.

GCF(77546,77560) = 14

We will now calculate the prime factors of 77546 and 77560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77546 and 77560.

How to find the GCF of 77546 and 77560?

We will first find the prime factorization of 77546 and 77560. After we will calculate the factors of 77546 and 77560 and find the biggest common factor number .

Step-1: Prime Factorization of 77546

Prime factors of 77546 are 2, 7, 29, 191. Prime factorization of 77546 in exponential form is:

77546 = 2¹ × 7¹ × 29¹ × 191¹

Step-2: Prime Factorization of 77560

Prime factors of 77560 are 2, 5, 7, 277. Prime factorization of 77560 in exponential form is:

77560 = 2³ × 5¹ × 7¹ × 277¹

Step-3: Factors of 77546

List of positive integer factors of 77546 that divides 77546 without a remainder.

1, 2, 7, 14, 29, 58, 191, 203, 382, 406, 1337, 2674, 5539, 11078, 38773

Step-4: Factors of 77560

List of positive integer factors of 77560 that divides 77546 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 277, 280, 554, 1108, 1385, 1939, 2216, 2770, 3878, 5540, 7756, 9695, 11080, 15512, 19390, 38780

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77546 and 77560. The biggest common factor number is the GCF number.
So the greatest common factor 77546 and 77560 is 14.

Also check out the Least Common Multiple of 77546 and 77560