What is the Greatest Common Factor of 49984 and 49988?

Greatest common factor (GCF) of 49984 and 49988 is 4.

GCF(49984,49988) = 4

We will now calculate the prime factors of 49984 and 49988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49984 and 49988.

How to find the GCF of 49984 and 49988?

We will first find the prime factorization of 49984 and 49988. After we will calculate the factors of 49984 and 49988 and find the biggest common factor number .

Step-1: Prime Factorization of 49984

Prime factors of 49984 are 2, 11, 71. Prime factorization of 49984 in exponential form is:

49984 = 2⁶ × 11¹ × 71¹

Step-2: Prime Factorization of 49988

Prime factors of 49988 are 2, 12497. Prime factorization of 49988 in exponential form is:

49988 = 2² × 12497¹

Step-3: Factors of 49984

List of positive integer factors of 49984 that divides 49984 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 71, 88, 142, 176, 284, 352, 568, 704, 781, 1136, 1562, 2272, 3124, 4544, 6248, 12496, 24992

Step-4: Factors of 49988

List of positive integer factors of 49988 that divides 49984 without a remainder.

1, 2, 4, 12497, 24994

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49984 and 49988. The biggest common factor number is the GCF number.
So the greatest common factor 49984 and 49988 is 4.

Also check out the Least Common Multiple of 49984 and 49988