What is the Greatest Common Factor of 84016 and 84029?

Greatest common factor (GCF) of 84016 and 84029 is 1.

GCF(84016,84029) = 1

We will now calculate the prime factors of 84016 and 84029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84016 and 84029.

How to find the GCF of 84016 and 84029?

We will first find the prime factorization of 84016 and 84029. After we will calculate the factors of 84016 and 84029 and find the biggest common factor number .

Step-1: Prime Factorization of 84016

Prime factors of 84016 are 2, 59, 89. Prime factorization of 84016 in exponential form is:

84016 = 2⁴ × 59¹ × 89¹

Step-2: Prime Factorization of 84029

Prime factors of 84029 are 11, 7639. Prime factorization of 84029 in exponential form is:

84029 = 11¹ × 7639¹

Step-3: Factors of 84016

List of positive integer factors of 84016 that divides 84016 without a remainder.

1, 2, 4, 8, 16, 59, 89, 118, 178, 236, 356, 472, 712, 944, 1424, 5251, 10502, 21004, 42008

Step-4: Factors of 84029

List of positive integer factors of 84029 that divides 84016 without a remainder.

1, 11, 7639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84016 and 84029. The biggest common factor number is the GCF number.
So the greatest common factor 84016 and 84029 is 1.

Also check out the Least Common Multiple of 84016 and 84029