What is the Greatest Common Factor of 56045 and 56056?

Greatest common factor (GCF) of 56045 and 56056 is 11.

GCF(56045,56056) = 11

We will now calculate the prime factors of 56045 and 56056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56045 and 56056.

How to find the GCF of 56045 and 56056?

We will first find the prime factorization of 56045 and 56056. After we will calculate the factors of 56045 and 56056 and find the biggest common factor number .

Step-1: Prime Factorization of 56045

Prime factors of 56045 are 5, 11, 1019. Prime factorization of 56045 in exponential form is:

56045 = 5¹ × 11¹ × 1019¹

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 56045

List of positive integer factors of 56045 that divides 56045 without a remainder.

1, 5, 11, 55, 1019, 5095, 11209

Step-4: Factors of 56056

List of positive integer factors of 56056 that divides 56045 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 56045 and 56056. The biggest common factor number is the GCF number.
So the greatest common factor 56045 and 56056 is 11.

Also check out the Least Common Multiple of 56045 and 56056