What is the Greatest Common Factor of 78154 and 78160?

Greatest common factor (GCF) of 78154 and 78160 is 2.

GCF(78154,78160) = 2

We will now calculate the prime factors of 78154 and 78160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78154 and 78160.

How to find the GCF of 78154 and 78160?

We will first find the prime factorization of 78154 and 78160. After we will calculate the factors of 78154 and 78160 and find the biggest common factor number .

Step-1: Prime Factorization of 78154

Prime factors of 78154 are 2, 23, 1699. Prime factorization of 78154 in exponential form is:

78154 = 2¹ × 23¹ × 1699¹

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 78154

List of positive integer factors of 78154 that divides 78154 without a remainder.

1, 2, 23, 46, 1699, 3398, 39077

Step-4: Factors of 78160

List of positive integer factors of 78160 that divides 78154 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 78154 and 78160. The biggest common factor number is the GCF number.
So the greatest common factor 78154 and 78160 is 2.

Also check out the Least Common Multiple of 78154 and 78160