What is the Greatest Common Factor of 84055 and 84070?

Greatest common factor (GCF) of 84055 and 84070 is 5.

GCF(84055,84070) = 5

We will now calculate the prime factors of 84055 and 84070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84055 and 84070.

How to find the GCF of 84055 and 84070?

We will first find the prime factorization of 84055 and 84070. After we will calculate the factors of 84055 and 84070 and find the biggest common factor number .

Step-1: Prime Factorization of 84055

Prime factors of 84055 are 5, 16811. Prime factorization of 84055 in exponential form is:

84055 = 5¹ × 16811¹

Step-2: Prime Factorization of 84070

Prime factors of 84070 are 2, 5, 7, 1201. Prime factorization of 84070 in exponential form is:

84070 = 2¹ × 5¹ × 7¹ × 1201¹

Step-3: Factors of 84055

List of positive integer factors of 84055 that divides 84055 without a remainder.

1, 5, 16811

Step-4: Factors of 84070

List of positive integer factors of 84070 that divides 84055 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1201, 2402, 6005, 8407, 12010, 16814, 42035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84055 and 84070. The biggest common factor number is the GCF number.
So the greatest common factor 84055 and 84070 is 5.

Also check out the Least Common Multiple of 84055 and 84070