What is the Greatest Common Factor of 78040 and 78053?

Greatest common factor (GCF) of 78040 and 78053 is 1.

GCF(78040,78053) = 1

We will now calculate the prime factors of 78040 and 78053, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78040 and 78053.

How to find the GCF of 78040 and 78053?

We will first find the prime factorization of 78040 and 78053. After we will calculate the factors of 78040 and 78053 and find the biggest common factor number .

Step-1: Prime Factorization of 78040

Prime factors of 78040 are 2, 5, 1951. Prime factorization of 78040 in exponential form is:

78040 = 2³ × 5¹ × 1951¹

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 78040

List of positive integer factors of 78040 that divides 78040 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1951, 3902, 7804, 9755, 15608, 19510, 39020

Step-4: Factors of 78053

List of positive integer factors of 78053 that divides 78040 without a remainder.

1, 89, 877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78040 and 78053. The biggest common factor number is the GCF number.
So the greatest common factor 78040 and 78053 is 1.

Also check out the Least Common Multiple of 78040 and 78053