What is the Greatest Common Factor of 84074 and 84080?

Greatest common factor (GCF) of 84074 and 84080 is 2.

GCF(84074,84080) = 2

We will now calculate the prime factors of 84074 and 84080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84074 and 84080.

How to find the GCF of 84074 and 84080?

We will first find the prime factorization of 84074 and 84080. After we will calculate the factors of 84074 and 84080 and find the biggest common factor number .

Step-1: Prime Factorization of 84074

Prime factors of 84074 are 2, 127, 331. Prime factorization of 84074 in exponential form is:

84074 = 2¹ × 127¹ × 331¹

Step-2: Prime Factorization of 84080

Prime factors of 84080 are 2, 5, 1051. Prime factorization of 84080 in exponential form is:

84080 = 2⁴ × 5¹ × 1051¹

Step-3: Factors of 84074

List of positive integer factors of 84074 that divides 84074 without a remainder.

1, 2, 127, 254, 331, 662, 42037

Step-4: Factors of 84080

List of positive integer factors of 84080 that divides 84074 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1051, 2102, 4204, 5255, 8408, 10510, 16816, 21020, 42040

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84074 and 84080. The biggest common factor number is the GCF number.
So the greatest common factor 84074 and 84080 is 2.

Also check out the Least Common Multiple of 84074 and 84080