What is the Greatest Common Factor of 49988 and 49996?

Greatest common factor (GCF) of 49988 and 49996 is 4.

GCF(49988,49996) = 4

We will now calculate the prime factors of 49988 and 49996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49988 and 49996.

How to find the GCF of 49988 and 49996?

We will first find the prime factorization of 49988 and 49996. After we will calculate the factors of 49988 and 49996 and find the biggest common factor number .

Step-1: Prime Factorization of 49988

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

49988 = 2² × 12497¹

Step-2: Prime Factorization of 49996

Prime factors of 49996 are 2, 29, 431. Prime factorization of 49996 in exponential form is:

49996 = 2² × 29¹ × 431¹

Step-3: Factors of 49988

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

1, 2, 4, 12497, 24994

Step-4: Factors of 49996

List of positive integer factors of 49996 that divides 49988 without a remainder.

1, 2, 4, 29, 58, 116, 431, 862, 1724, 12499, 24998

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49988 and 49996. The biggest common factor number is the GCF number.
So the greatest common factor 49988 and 49996 is 4.

Also check out the Least Common Multiple of 49988 and 49996