What is the Greatest Common Factor of 98944 and 98961?

Greatest common factor (GCF) of 98944 and 98961 is 1.

GCF(98944,98961) = 1

We will now calculate the prime factors of 98944 and 98961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98944 and 98961.

How to find the GCF of 98944 and 98961?

We will first find the prime factorization of 98944 and 98961. After we will calculate the factors of 98944 and 98961 and find the biggest common factor number .

Step-1: Prime Factorization of 98944

Prime factors of 98944 are 2, 773. Prime factorization of 98944 in exponential form is:

98944 = 2⁷ × 773¹

Step-2: Prime Factorization of 98961

Prime factors of 98961 are 3, 32987. Prime factorization of 98961 in exponential form is:

98961 = 3¹ × 32987¹

Step-3: Factors of 98944

List of positive integer factors of 98944 that divides 98944 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 773, 1546, 3092, 6184, 12368, 24736, 49472

Step-4: Factors of 98961

List of positive integer factors of 98961 that divides 98944 without a remainder.

1, 3, 32987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98944 and 98961. The biggest common factor number is the GCF number.
So the greatest common factor 98944 and 98961 is 1.

Also check out the Least Common Multiple of 98944 and 98961