What is the Greatest Common Factor of 52450 and 52470?

Greatest common factor (GCF) of 52450 and 52470 is 10.

GCF(52450,52470) = 10

We will now calculate the prime factors of 52450 and 52470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52450 and 52470.

How to find the GCF of 52450 and 52470?

We will first find the prime factorization of 52450 and 52470. After we will calculate the factors of 52450 and 52470 and find the biggest common factor number .

Step-1: Prime Factorization of 52450

Prime factors of 52450 are 2, 5, 1049. Prime factorization of 52450 in exponential form is:

52450 = 2¹ × 5² × 1049¹

Step-2: Prime Factorization of 52470

Prime factors of 52470 are 2, 3, 5, 11, 53. Prime factorization of 52470 in exponential form is:

52470 = 2¹ × 3² × 5¹ × 11¹ × 53¹

Step-3: Factors of 52450

List of positive integer factors of 52450 that divides 52450 without a remainder.

1, 2, 5, 10, 25, 50, 1049, 2098, 5245, 10490, 26225

Step-4: Factors of 52470

List of positive integer factors of 52470 that divides 52450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 53, 55, 66, 90, 99, 106, 110, 159, 165, 198, 265, 318, 330, 477, 495, 530, 583, 795, 954, 990, 1166, 1590, 1749, 2385, 2915, 3498, 4770, 5247, 5830, 8745, 10494, 17490, 26235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52450 and 52470. The biggest common factor number is the GCF number.
So the greatest common factor 52450 and 52470 is 10.

Also check out the Least Common Multiple of 52450 and 52470