What is the Greatest Common Factor of 50988 and 50998?

Greatest common factor (GCF) of 50988 and 50998 is 2.

GCF(50988,50998) = 2

We will now calculate the prime factors of 50988 and 50998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50988 and 50998.

How to find the GCF of 50988 and 50998?

We will first find the prime factorization of 50988 and 50998. After we will calculate the factors of 50988 and 50998 and find the biggest common factor number .

Step-1: Prime Factorization of 50988

Prime factors of 50988 are 2, 3, 7, 607. Prime factorization of 50988 in exponential form is:

50988 = 2² × 3¹ × 7¹ × 607¹

Step-2: Prime Factorization of 50998

Prime factors of 50998 are 2, 43, 593. Prime factorization of 50998 in exponential form is:

50998 = 2¹ × 43¹ × 593¹

Step-3: Factors of 50988

List of positive integer factors of 50988 that divides 50988 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 607, 1214, 1821, 2428, 3642, 4249, 7284, 8498, 12747, 16996, 25494

Step-4: Factors of 50998

List of positive integer factors of 50998 that divides 50988 without a remainder.

1, 2, 43, 86, 593, 1186, 25499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50988 and 50998. The biggest common factor number is the GCF number.
So the greatest common factor 50988 and 50998 is 2.

Also check out the Least Common Multiple of 50988 and 50998