What is the Greatest Common Factor of 42016 and 42029?

Greatest common factor (GCF) of 42016 and 42029 is 13.

GCF(42016,42029) = 13

We will now calculate the prime factors of 42016 and 42029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42016 and 42029.

How to find the GCF of 42016 and 42029?

We will first find the prime factorization of 42016 and 42029. After we will calculate the factors of 42016 and 42029 and find the biggest common factor number .

Step-1: Prime Factorization of 42016

Prime factors of 42016 are 2, 13, 101. Prime factorization of 42016 in exponential form is:

42016 = 2⁵ × 13¹ × 101¹

Step-2: Prime Factorization of 42029

Prime factors of 42029 are 13, 53, 61. Prime factorization of 42029 in exponential form is:

42029 = 13¹ × 53¹ × 61¹

Step-3: Factors of 42016

List of positive integer factors of 42016 that divides 42016 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 101, 104, 202, 208, 404, 416, 808, 1313, 1616, 2626, 3232, 5252, 10504, 21008

Step-4: Factors of 42029

List of positive integer factors of 42029 that divides 42016 without a remainder.

1, 13, 53, 61, 689, 793, 3233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42016 and 42029. The biggest common factor number is the GCF number.
So the greatest common factor 42016 and 42029 is 13.

Also check out the Least Common Multiple of 42016 and 42029