What is the Greatest Common Factor of 56042 and 56056?

Greatest common factor (GCF) of 56042 and 56056 is 14.

GCF(56042,56056) = 14

We will now calculate the prime factors of 56042 and 56056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56042 and 56056.

How to find the GCF of 56042 and 56056?

We will first find the prime factorization of 56042 and 56056. After we will calculate the factors of 56042 and 56056 and find the biggest common factor number .

Step-1: Prime Factorization of 56042

Prime factors of 56042 are 2, 7, 4003. Prime factorization of 56042 in exponential form is:

56042 = 2¹ × 7¹ × 4003¹

Step-2: Prime Factorization of 56056

Prime factors of 56056 are 2, 7, 11, 13. Prime factorization of 56056 in exponential form is:

56056 = 2³ × 7² × 11¹ × 13¹

Step-3: Factors of 56042

List of positive integer factors of 56042 that divides 56042 without a remainder.

1, 2, 7, 14, 4003, 8006, 28021

Step-4: Factors of 56056

List of positive integer factors of 56056 that divides 56042 without a remainder.

1, 2, 4, 7, 8, 11, 13, 14, 22, 26, 28, 44, 49, 52, 56, 77, 88, 91, 98, 104, 143, 154, 182, 196, 286, 308, 364, 392, 539, 572, 616, 637, 728, 1001, 1078, 1144, 1274, 2002, 2156, 2548, 4004, 4312, 5096, 7007, 8008, 14014, 28028

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56042 and 56056. The biggest common factor number is the GCF number.
So the greatest common factor 56042 and 56056 is 14.

Also check out the Least Common Multiple of 56042 and 56056