What is the Greatest Common Factor of 56350 and 56364?

Greatest common factor (GCF) of 56350 and 56364 is 14.

GCF(56350,56364) = 14

We will now calculate the prime factors of 56350 and 56364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56350 and 56364.

How to find the GCF of 56350 and 56364?

We will first find the prime factorization of 56350 and 56364. After we will calculate the factors of 56350 and 56364 and find the biggest common factor number .

Step-1: Prime Factorization of 56350

Prime factors of 56350 are 2, 5, 7, 23. Prime factorization of 56350 in exponential form is:

56350 = 2¹ × 5² × 7² × 23¹

Step-2: Prime Factorization of 56364

Prime factors of 56364 are 2, 3, 7, 11, 61. Prime factorization of 56364 in exponential form is:

56364 = 2² × 3¹ × 7¹ × 11¹ × 61¹

Step-3: Factors of 56350

List of positive integer factors of 56350 that divides 56350 without a remainder.

1, 2, 5, 7, 10, 14, 23, 25, 35, 46, 49, 50, 70, 98, 115, 161, 175, 230, 245, 322, 350, 490, 575, 805, 1127, 1150, 1225, 1610, 2254, 2450, 4025, 5635, 8050, 11270, 28175

Step-4: Factors of 56364

List of positive integer factors of 56364 that divides 56350 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 61, 66, 77, 84, 122, 132, 154, 183, 231, 244, 308, 366, 427, 462, 671, 732, 854, 924, 1281, 1342, 1708, 2013, 2562, 2684, 4026, 4697, 5124, 8052, 9394, 14091, 18788, 28182

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56350 and 56364. The biggest common factor number is the GCF number.
So the greatest common factor 56350 and 56364 is 14.

Also check out the Least Common Multiple of 56350 and 56364