What is the Greatest Common Factor of 88961 and 88978?

Greatest common factor (GCF) of 88961 and 88978 is 17.

GCF(88961,88978) = 17

We will now calculate the prime factors of 88961 and 88978, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88961 and 88978.

How to find the GCF of 88961 and 88978?

We will first find the prime factorization of 88961 and 88978. After we will calculate the factors of 88961 and 88978 and find the biggest common factor number .

Step-1: Prime Factorization of 88961

Prime factors of 88961 are 17, 5233. Prime factorization of 88961 in exponential form is:

88961 = 17¹ × 5233¹

Step-2: Prime Factorization of 88978

Prime factors of 88978 are 2, 17, 2617. Prime factorization of 88978 in exponential form is:

88978 = 2¹ × 17¹ × 2617¹

Step-3: Factors of 88961

List of positive integer factors of 88961 that divides 88961 without a remainder.

1, 17, 5233

Step-4: Factors of 88978

List of positive integer factors of 88978 that divides 88961 without a remainder.

1, 2, 17, 34, 2617, 5234, 44489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88961 and 88978. The biggest common factor number is the GCF number.
So the greatest common factor 88961 and 88978 is 17.

Also check out the Least Common Multiple of 88961 and 88978