What is the Greatest Common Factor of 53480 and 53500?

Greatest common factor (GCF) of 53480 and 53500 is 20.

GCF(53480,53500) = 20

We will now calculate the prime factors of 53480 and 53500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53480 and 53500.

How to find the GCF of 53480 and 53500?

We will first find the prime factorization of 53480 and 53500. After we will calculate the factors of 53480 and 53500 and find the biggest common factor number .

Step-1: Prime Factorization of 53480

Prime factors of 53480 are 2, 5, 7, 191. Prime factorization of 53480 in exponential form is:

53480 = 2³ × 5¹ × 7¹ × 191¹

Step-2: Prime Factorization of 53500

Prime factors of 53500 are 2, 5, 107. Prime factorization of 53500 in exponential form is:

53500 = 2² × 5³ × 107¹

Step-3: Factors of 53480

List of positive integer factors of 53480 that divides 53480 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 191, 280, 382, 764, 955, 1337, 1528, 1910, 2674, 3820, 5348, 6685, 7640, 10696, 13370, 26740

Step-4: Factors of 53500

List of positive integer factors of 53500 that divides 53480 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 107, 125, 214, 250, 428, 500, 535, 1070, 2140, 2675, 5350, 10700, 13375, 26750

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53480 and 53500. The biggest common factor number is the GCF number.
So the greatest common factor 53480 and 53500 is 20.

Also check out the Least Common Multiple of 53480 and 53500