What is the Greatest Common Factor of 78070 and 78085?

Greatest common factor (GCF) of 78070 and 78085 is 5.

GCF(78070,78085) = 5

We will now calculate the prime factors of 78070 and 78085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78070 and 78085.

How to find the GCF of 78070 and 78085?

We will first find the prime factorization of 78070 and 78085. After we will calculate the factors of 78070 and 78085 and find the biggest common factor number .

Step-1: Prime Factorization of 78070

Prime factors of 78070 are 2, 5, 37, 211. Prime factorization of 78070 in exponential form is:

78070 = 2¹ × 5¹ × 37¹ × 211¹

Step-2: Prime Factorization of 78085

Prime factors of 78085 are 5, 7, 23, 97. Prime factorization of 78085 in exponential form is:

78085 = 5¹ × 7¹ × 23¹ × 97¹

Step-3: Factors of 78070

List of positive integer factors of 78070 that divides 78070 without a remainder.

1, 2, 5, 10, 37, 74, 185, 211, 370, 422, 1055, 2110, 7807, 15614, 39035

Step-4: Factors of 78085

List of positive integer factors of 78085 that divides 78070 without a remainder.

1, 5, 7, 23, 35, 97, 115, 161, 485, 679, 805, 2231, 3395, 11155, 15617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78070 and 78085. The biggest common factor number is the GCF number.
So the greatest common factor 78070 and 78085 is 5.

Also check out the Least Common Multiple of 78070 and 78085