What is the Greatest Common Factor of 52370 and 52380?

Greatest common factor (GCF) of 52370 and 52380 is 10.

GCF(52370,52380) = 10

We will now calculate the prime factors of 52370 and 52380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52370 and 52380.

How to find the GCF of 52370 and 52380?

We will first find the prime factorization of 52370 and 52380. After we will calculate the factors of 52370 and 52380 and find the biggest common factor number .

Step-1: Prime Factorization of 52370

Prime factors of 52370 are 2, 5, 5237. Prime factorization of 52370 in exponential form is:

52370 = 2¹ × 5¹ × 5237¹

Step-2: Prime Factorization of 52380

Prime factors of 52380 are 2, 3, 5, 97. Prime factorization of 52380 in exponential form is:

52380 = 2² × 3³ × 5¹ × 97¹

Step-3: Factors of 52370

List of positive integer factors of 52370 that divides 52370 without a remainder.

1, 2, 5, 10, 5237, 10474, 26185

Step-4: Factors of 52380

List of positive integer factors of 52380 that divides 52370 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 97, 108, 135, 180, 194, 270, 291, 388, 485, 540, 582, 873, 970, 1164, 1455, 1746, 1940, 2619, 2910, 3492, 4365, 5238, 5820, 8730, 10476, 13095, 17460, 26190

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52370 and 52380. The biggest common factor number is the GCF number.
So the greatest common factor 52370 and 52380 is 10.

Also check out the Least Common Multiple of 52370 and 52380