What is the Greatest Common Factor of 78065 and 78070?

Greatest common factor (GCF) of 78065 and 78070 is 5.

GCF(78065,78070) = 5

We will now calculate the prime factors of 78065 and 78070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78065 and 78070.

How to find the GCF of 78065 and 78070?

We will first find the prime factorization of 78065 and 78070. After we will calculate the factors of 78065 and 78070 and find the biggest common factor number .

Step-1: Prime Factorization of 78065

Prime factors of 78065 are 5, 13, 1201. Prime factorization of 78065 in exponential form is:

78065 = 5¹ × 13¹ × 1201¹

Step-2: 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-3: Factors of 78065

List of positive integer factors of 78065 that divides 78065 without a remainder.

1, 5, 13, 65, 1201, 6005, 15613

Step-4: Factors of 78070

List of positive integer factors of 78070 that divides 78065 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78065 and 78070. The biggest common factor number is the GCF number.
So the greatest common factor 78065 and 78070 is 5.

Also check out the Least Common Multiple of 78065 and 78070