What is the Greatest Common Factor of 68984 and 68998?

Greatest common factor (GCF) of 68984 and 68998 is 2.

GCF(68984,68998) = 2

We will now calculate the prime factors of 68984 and 68998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68984 and 68998.

How to find the GCF of 68984 and 68998?

We will first find the prime factorization of 68984 and 68998. After we will calculate the factors of 68984 and 68998 and find the biggest common factor number .

Step-1: Prime Factorization of 68984

Prime factors of 68984 are 2, 8623. Prime factorization of 68984 in exponential form is:

68984 = 2³ × 8623¹

Step-2: Prime Factorization of 68998

Prime factors of 68998 are 2, 34499. Prime factorization of 68998 in exponential form is:

68998 = 2¹ × 34499¹

Step-3: Factors of 68984

List of positive integer factors of 68984 that divides 68984 without a remainder.

1, 2, 4, 8, 8623, 17246, 34492

Step-4: Factors of 68998

List of positive integer factors of 68998 that divides 68984 without a remainder.

1, 2, 34499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68984 and 68998. The biggest common factor number is the GCF number.
So the greatest common factor 68984 and 68998 is 2.

Also check out the Least Common Multiple of 68984 and 68998