What is the Greatest Common Factor of 52400 and 52420?

Greatest common factor (GCF) of 52400 and 52420 is 20.

GCF(52400,52420) = 20

We will now calculate the prime factors of 52400 and 52420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52400 and 52420.

How to find the GCF of 52400 and 52420?

We will first find the prime factorization of 52400 and 52420. After we will calculate the factors of 52400 and 52420 and find the biggest common factor number .

Step-1: Prime Factorization of 52400

Prime factors of 52400 are 2, 5, 131. Prime factorization of 52400 in exponential form is:

52400 = 2⁴ × 5² × 131¹

Step-2: Prime Factorization of 52420

Prime factors of 52420 are 2, 5, 2621. Prime factorization of 52420 in exponential form is:

52420 = 2² × 5¹ × 2621¹

Step-3: Factors of 52400

List of positive integer factors of 52400 that divides 52400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 131, 200, 262, 400, 524, 655, 1048, 1310, 2096, 2620, 3275, 5240, 6550, 10480, 13100, 26200

Step-4: Factors of 52420

List of positive integer factors of 52420 that divides 52400 without a remainder.

1, 2, 4, 5, 10, 20, 2621, 5242, 10484, 13105, 26210

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52400 and 52420. The biggest common factor number is the GCF number.
So the greatest common factor 52400 and 52420 is 20.

Also check out the Least Common Multiple of 52400 and 52420