What is the Greatest Common Factor of 84080 and 84092?

Greatest common factor (GCF) of 84080 and 84092 is 4.

GCF(84080,84092) = 4

We will now calculate the prime factors of 84080 and 84092, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84080 and 84092.

How to find the GCF of 84080 and 84092?

We will first find the prime factorization of 84080 and 84092. After we will calculate the factors of 84080 and 84092 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 84092

Prime factors of 84092 are 2, 21023. Prime factorization of 84092 in exponential form is:

84092 = 2² × 21023¹

Step-3: Factors of 84080

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

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

Step-4: Factors of 84092

List of positive integer factors of 84092 that divides 84080 without a remainder.

1, 2, 4, 21023, 42046

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84080 and 84092. The biggest common factor number is the GCF number.
So the greatest common factor 84080 and 84092 is 4.

Also check out the Least Common Multiple of 84080 and 84092