What is the Greatest Common Factor of 49455 and 49470?

Greatest common factor (GCF) of 49455 and 49470 is 15.

GCF(49455,49470) = 15

We will now calculate the prime factors of 49455 and 49470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49455 and 49470.

How to find the GCF of 49455 and 49470?

We will first find the prime factorization of 49455 and 49470. After we will calculate the factors of 49455 and 49470 and find the biggest common factor number .

Step-1: Prime Factorization of 49455

Prime factors of 49455 are 3, 5, 7, 157. Prime factorization of 49455 in exponential form is:

49455 = 3² × 5¹ × 7¹ × 157¹

Step-2: Prime Factorization of 49470

Prime factors of 49470 are 2, 3, 5, 17, 97. Prime factorization of 49470 in exponential form is:

49470 = 2¹ × 3¹ × 5¹ × 17¹ × 97¹

Step-3: Factors of 49455

List of positive integer factors of 49455 that divides 49455 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 157, 315, 471, 785, 1099, 1413, 2355, 3297, 5495, 7065, 9891, 16485

Step-4: Factors of 49470

List of positive integer factors of 49470 that divides 49455 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 97, 102, 170, 194, 255, 291, 485, 510, 582, 970, 1455, 1649, 2910, 3298, 4947, 8245, 9894, 16490, 24735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49455 and 49470. The biggest common factor number is the GCF number.
So the greatest common factor 49455 and 49470 is 15.

Also check out the Least Common Multiple of 49455 and 49470