What is the Greatest Common Factor of 56980 and 56984?

Greatest common factor (GCF) of 56980 and 56984 is 4.

GCF(56980,56984) = 4

We will now calculate the prime factors of 56980 and 56984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56980 and 56984.

How to find the GCF of 56980 and 56984?

We will first find the prime factorization of 56980 and 56984. After we will calculate the factors of 56980 and 56984 and find the biggest common factor number .

Step-1: Prime Factorization of 56980

Prime factors of 56980 are 2, 5, 7, 11, 37. Prime factorization of 56980 in exponential form is:

56980 = 2² × 5¹ × 7¹ × 11¹ × 37¹

Step-2: Prime Factorization of 56984

Prime factors of 56984 are 2, 17, 419. Prime factorization of 56984 in exponential form is:

56984 = 2³ × 17¹ × 419¹

Step-3: Factors of 56980

List of positive integer factors of 56980 that divides 56980 without a remainder.

1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 35, 37, 44, 55, 70, 74, 77, 110, 140, 148, 154, 185, 220, 259, 308, 370, 385, 407, 518, 740, 770, 814, 1036, 1295, 1540, 1628, 2035, 2590, 2849, 4070, 5180, 5698, 8140, 11396, 14245, 28490

Step-4: Factors of 56984

List of positive integer factors of 56984 that divides 56980 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 419, 838, 1676, 3352, 7123, 14246, 28492

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56980 and 56984. The biggest common factor number is the GCF number.
So the greatest common factor 56980 and 56984 is 4.

Also check out the Least Common Multiple of 56980 and 56984