What is the Greatest Common Factor of 84042 and 84056?

Greatest common factor (GCF) of 84042 and 84056 is 14.

GCF(84042,84056) = 14

We will now calculate the prime factors of 84042 and 84056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84042 and 84056.

How to find the GCF of 84042 and 84056?

We will first find the prime factorization of 84042 and 84056. After we will calculate the factors of 84042 and 84056 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 84056

Prime factors of 84056 are 2, 7, 19, 79. Prime factorization of 84056 in exponential form is:

84056 = 2³ × 7¹ × 19¹ × 79¹

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 84056

List of positive integer factors of 84056 that divides 84042 without a remainder.

1, 2, 4, 7, 8, 14, 19, 28, 38, 56, 76, 79, 133, 152, 158, 266, 316, 532, 553, 632, 1064, 1106, 1501, 2212, 3002, 4424, 6004, 10507, 12008, 21014, 42028

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84042 and 84056. The biggest common factor number is the GCF number.
So the greatest common factor 84042 and 84056 is 14.

Also check out the Least Common Multiple of 84042 and 84056