What is the Greatest Common Factor of 53780 and 53800?

Greatest common factor (GCF) of 53780 and 53800 is 20.

GCF(53780,53800) = 20

We will now calculate the prime factors of 53780 and 53800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53780 and 53800.

How to find the GCF of 53780 and 53800?

We will first find the prime factorization of 53780 and 53800. After we will calculate the factors of 53780 and 53800 and find the biggest common factor number .

Step-1: Prime Factorization of 53780

Prime factors of 53780 are 2, 5, 2689. Prime factorization of 53780 in exponential form is:

53780 = 2² × 5¹ × 2689¹

Step-2: Prime Factorization of 53800

Prime factors of 53800 are 2, 5, 269. Prime factorization of 53800 in exponential form is:

53800 = 2³ × 5² × 269¹

Step-3: Factors of 53780

List of positive integer factors of 53780 that divides 53780 without a remainder.

1, 2, 4, 5, 10, 20, 2689, 5378, 10756, 13445, 26890

Step-4: Factors of 53800

List of positive integer factors of 53800 that divides 53780 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 269, 538, 1076, 1345, 2152, 2690, 5380, 6725, 10760, 13450, 26900

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53780 and 53800. The biggest common factor number is the GCF number.
So the greatest common factor 53780 and 53800 is 20.

Also check out the Least Common Multiple of 53780 and 53800