What is the Greatest Common Factor of 84642 and 84653?

Greatest common factor (GCF) of 84642 and 84653 is 1.

GCF(84642,84653) = 1

We will now calculate the prime factors of 84642 and 84653, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84642 and 84653.

How to find the GCF of 84642 and 84653?

We will first find the prime factorization of 84642 and 84653. After we will calculate the factors of 84642 and 84653 and find the biggest common factor number .

Step-1: Prime Factorization of 84642

Prime factors of 84642 are 2, 3, 14107. Prime factorization of 84642 in exponential form is:

84642 = 2¹ × 3¹ × 14107¹

Step-2: Prime Factorization of 84653

Prime factors of 84653 are 84653. Prime factorization of 84653 in exponential form is:

84653 = 84653¹

Step-3: Factors of 84642

List of positive integer factors of 84642 that divides 84642 without a remainder.

1, 2, 3, 6, 14107, 28214, 42321

Step-4: Factors of 84653

List of positive integer factors of 84653 that divides 84642 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84642 and 84653. The biggest common factor number is the GCF number.
So the greatest common factor 84642 and 84653 is 1.

Also check out the Least Common Multiple of 84642 and 84653