What is the Greatest Common Factor of 78070 and 78080?

Greatest common factor (GCF) of 78070 and 78080 is 10.

GCF(78070,78080) = 10

We will now calculate the prime factors of 78070 and 78080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78070 and 78080.

How to find the GCF of 78070 and 78080?

We will first find the prime factorization of 78070 and 78080. After we will calculate the factors of 78070 and 78080 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 78080

Prime factors of 78080 are 2, 5, 61. Prime factorization of 78080 in exponential form is:

78080 = 2⁸ × 5¹ × 61¹

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 78080

List of positive integer factors of 78080 that divides 78070 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 61, 64, 80, 122, 128, 160, 244, 256, 305, 320, 488, 610, 640, 976, 1220, 1280, 1952, 2440, 3904, 4880, 7808, 9760, 15616, 19520, 39040

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78070 and 78080. The biggest common factor number is the GCF number.
So the greatest common factor 78070 and 78080 is 10.

Also check out the Least Common Multiple of 78070 and 78080