What is the Greatest Common Factor of 48984 and 49000?

Greatest common factor (GCF) of 48984 and 49000 is 8.

GCF(48984,49000) = 8

We will now calculate the prime factors of 48984 and 49000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48984 and 49000.

How to find the GCF of 48984 and 49000?

We will first find the prime factorization of 48984 and 49000. After we will calculate the factors of 48984 and 49000 and find the biggest common factor number .

Step-1: Prime Factorization of 48984

Prime factors of 48984 are 2, 3, 13, 157. Prime factorization of 48984 in exponential form is:

48984 = 2³ × 3¹ × 13¹ × 157¹

Step-2: Prime Factorization of 49000

Prime factors of 49000 are 2, 5, 7. Prime factorization of 49000 in exponential form is:

49000 = 2³ × 5³ × 7²

Step-3: Factors of 48984

List of positive integer factors of 48984 that divides 48984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 157, 312, 314, 471, 628, 942, 1256, 1884, 2041, 3768, 4082, 6123, 8164, 12246, 16328, 24492

Step-4: Factors of 49000

List of positive integer factors of 49000 that divides 48984 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 49, 50, 56, 70, 98, 100, 125, 140, 175, 196, 200, 245, 250, 280, 350, 392, 490, 500, 700, 875, 980, 1000, 1225, 1400, 1750, 1960, 2450, 3500, 4900, 6125, 7000, 9800, 12250, 24500

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48984 and 49000. The biggest common factor number is the GCF number.
So the greatest common factor 48984 and 49000 is 8.

Also check out the Least Common Multiple of 48984 and 49000