What is the Greatest Common Factor of 84042 and 84053?

Greatest common factor (GCF) of 84042 and 84053 is 1.

GCF(84042,84053) = 1

We will now calculate the prime factors of 84042 and 84053, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84042 and 84053.

How to find the GCF of 84042 and 84053?

We will first find the prime factorization of 84042 and 84053. After we will calculate the factors of 84042 and 84053 and find the biggest common factor number .

Step-1: Prime Factorization of 84042

Prime factors of 84042 are 2, 3, 7, 23, 29. Prime factorization of 84042 in exponential form is:

84042 = 2¹ × 3² × 7¹ × 23¹ × 29¹

Step-2: Prime Factorization of 84053

Prime factors of 84053 are 84053. Prime factorization of 84053 in exponential form is:

84053 = 84053¹

Step-3: Factors of 84042

List of positive integer factors of 84042 that divides 84042 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 23, 29, 42, 46, 58, 63, 69, 87, 126, 138, 161, 174, 203, 207, 261, 322, 406, 414, 483, 522, 609, 667, 966, 1218, 1334, 1449, 1827, 2001, 2898, 3654, 4002, 4669, 6003, 9338, 12006, 14007, 28014, 42021

Step-4: Factors of 84053

List of positive integer factors of 84053 that divides 84042 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84042 and 84053. The biggest common factor number is the GCF number.
So the greatest common factor 84042 and 84053 is 1.

Also check out the Least Common Multiple of 84042 and 84053