What is the Greatest Common Factor of 78160 and 78169?

Greatest common factor (GCF) of 78160 and 78169 is 1.

GCF(78160,78169) = 1

We will now calculate the prime factors of 78160 and 78169, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78160 and 78169.

How to find the GCF of 78160 and 78169?

We will first find the prime factorization of 78160 and 78169. After we will calculate the factors of 78160 and 78169 and find the biggest common factor number .

Step-1: Prime Factorization of 78160

Prime factors of 78160 are 2, 5, 977. Prime factorization of 78160 in exponential form is:

78160 = 2⁴ × 5¹ × 977¹

Step-2: Prime Factorization of 78169

Prime factors of 78169 are 7, 13, 859. Prime factorization of 78169 in exponential form is:

78169 = 7¹ × 13¹ × 859¹

Step-3: Factors of 78160

List of positive integer factors of 78160 that divides 78160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 977, 1954, 3908, 4885, 7816, 9770, 15632, 19540, 39080

Step-4: Factors of 78169

List of positive integer factors of 78169 that divides 78160 without a remainder.

1, 7, 13, 91, 859, 6013, 11167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78160 and 78169. The biggest common factor number is the GCF number.
So the greatest common factor 78160 and 78169 is 1.

Also check out the Least Common Multiple of 78160 and 78169