What is the Greatest Common Factor of 49470 and 49488?

Greatest common factor (GCF) of 49470 and 49488 is 6.

GCF(49470,49488) = 6

We will now calculate the prime factors of 49470 and 49488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49470 and 49488.

How to find the GCF of 49470 and 49488?

We will first find the prime factorization of 49470 and 49488. After we will calculate the factors of 49470 and 49488 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 49488

Prime factors of 49488 are 2, 3, 1031. Prime factorization of 49488 in exponential form is:

49488 = 2⁴ × 3¹ × 1031¹

Step-3: Factors of 49470

List of positive integer factors of 49470 that divides 49470 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

Step-4: Factors of 49488

List of positive integer factors of 49488 that divides 49470 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1031, 2062, 3093, 4124, 6186, 8248, 12372, 16496, 24744

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49470 and 49488. The biggest common factor number is the GCF number.
So the greatest common factor 49470 and 49488 is 6.

Also check out the Least Common Multiple of 49470 and 49488