What is the Greatest Common Factor of 78534 and 78546?

Greatest common factor (GCF) of 78534 and 78546 is 6.

GCF(78534,78546) = 6

We will now calculate the prime factors of 78534 and 78546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78534 and 78546.

How to find the GCF of 78534 and 78546?

We will first find the prime factorization of 78534 and 78546. After we will calculate the factors of 78534 and 78546 and find the biggest common factor number .

Step-1: Prime Factorization of 78534

Prime factors of 78534 are 2, 3, 4363. Prime factorization of 78534 in exponential form is:

78534 = 2¹ × 3² × 4363¹

Step-2: 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-3: Factors of 78534

List of positive integer factors of 78534 that divides 78534 without a remainder.

1, 2, 3, 6, 9, 18, 4363, 8726, 13089, 26178, 39267

Step-4: Factors of 78546

List of positive integer factors of 78546 that divides 78534 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78534 and 78546. The biggest common factor number is the GCF number.
So the greatest common factor 78534 and 78546 is 6.

Also check out the Least Common Multiple of 78534 and 78546