What is the Greatest Common Factor of 84105 and 84124?

Greatest common factor (GCF) of 84105 and 84124 is 1.

GCF(84105,84124) = 1

We will now calculate the prime factors of 84105 and 84124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84105 and 84124.

How to find the GCF of 84105 and 84124?

We will first find the prime factorization of 84105 and 84124. After we will calculate the factors of 84105 and 84124 and find the biggest common factor number .

Step-1: Prime Factorization of 84105

Prime factors of 84105 are 3, 5, 7, 89. Prime factorization of 84105 in exponential form is:

84105 = 3³ × 5¹ × 7¹ × 89¹

Step-2: Prime Factorization of 84124

Prime factors of 84124 are 2, 21031. Prime factorization of 84124 in exponential form is:

84124 = 2² × 21031¹

Step-3: Factors of 84105

List of positive integer factors of 84105 that divides 84105 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 89, 105, 135, 189, 267, 315, 445, 623, 801, 945, 1335, 1869, 2403, 3115, 4005, 5607, 9345, 12015, 16821, 28035

Step-4: Factors of 84124

List of positive integer factors of 84124 that divides 84105 without a remainder.

1, 2, 4, 21031, 42062

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84105 and 84124. The biggest common factor number is the GCF number.
So the greatest common factor 84105 and 84124 is 1.

Also check out the Least Common Multiple of 84105 and 84124