What is the Greatest Common Factor of 78546 and 78565?

Greatest common factor (GCF) of 78546 and 78565 is 19.

GCF(78546,78565) = 19

We will now calculate the prime factors of 78546 and 78565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78546 and 78565.

How to find the GCF of 78546 and 78565?

We will first find the prime factorization of 78546 and 78565. After we will calculate the factors of 78546 and 78565 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 78565

Prime factors of 78565 are 5, 19, 827. Prime factorization of 78565 in exponential form is:

78565 = 5¹ × 19¹ × 827¹

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 78565

List of positive integer factors of 78565 that divides 78546 without a remainder.

1, 5, 19, 95, 827, 4135, 15713

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78546 and 78565. The biggest common factor number is the GCF number.
So the greatest common factor 78546 and 78565 is 19.

Also check out the Least Common Multiple of 78546 and 78565