What is the Greatest Common Factor of 78036 and 78053?

Greatest common factor (GCF) of 78036 and 78053 is 1.

GCF(78036,78053) = 1

We will now calculate the prime factors of 78036 and 78053, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78036 and 78053.

How to find the GCF of 78036 and 78053?

We will first find the prime factorization of 78036 and 78053. After we will calculate the factors of 78036 and 78053 and find the biggest common factor number .

Step-1: Prime Factorization of 78036

Prime factors of 78036 are 2, 3, 7, 929. Prime factorization of 78036 in exponential form is:

78036 = 2² × 3¹ × 7¹ × 929¹

Step-2: Prime Factorization of 78053

Prime factors of 78053 are 89, 877. Prime factorization of 78053 in exponential form is:

78053 = 89¹ × 877¹

Step-3: Factors of 78036

List of positive integer factors of 78036 that divides 78036 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 929, 1858, 2787, 3716, 5574, 6503, 11148, 13006, 19509, 26012, 39018

Step-4: Factors of 78053

List of positive integer factors of 78053 that divides 78036 without a remainder.

1, 89, 877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78036 and 78053. The biggest common factor number is the GCF number.
So the greatest common factor 78036 and 78053 is 1.

Also check out the Least Common Multiple of 78036 and 78053