What is the Greatest Common Factor of 78142 and 78160?

Greatest common factor (GCF) of 78142 and 78160 is 2.

GCF(78142,78160) = 2

We will now calculate the prime factors of 78142 and 78160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78142 and 78160.

How to find the GCF of 78142 and 78160?

We will first find the prime factorization of 78142 and 78160. After we will calculate the factors of 78142 and 78160 and find the biggest common factor number .

Step-1: Prime Factorization of 78142

Prime factors of 78142 are 2, 89, 439. Prime factorization of 78142 in exponential form is:

78142 = 2¹ × 89¹ × 439¹

Step-2: 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-3: Factors of 78142

List of positive integer factors of 78142 that divides 78142 without a remainder.

1, 2, 89, 178, 439, 878, 39071

Step-4: Factors of 78160

List of positive integer factors of 78160 that divides 78142 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78142 and 78160. The biggest common factor number is the GCF number.
So the greatest common factor 78142 and 78160 is 2.

Also check out the Least Common Multiple of 78142 and 78160