What is the Greatest Common Factor of 98560 and 98567?

Greatest common factor (GCF) of 98560 and 98567 is 7.

GCF(98560,98567) = 7

We will now calculate the prime factors of 98560 and 98567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98560 and 98567.

How to find the GCF of 98560 and 98567?

We will first find the prime factorization of 98560 and 98567. After we will calculate the factors of 98560 and 98567 and find the biggest common factor number .

Step-1: Prime Factorization of 98560

Prime factors of 98560 are 2, 5, 7, 11. Prime factorization of 98560 in exponential form is:

98560 = 2⁸ × 5¹ × 7¹ × 11¹

Step-2: Prime Factorization of 98567

Prime factors of 98567 are 7, 14081. Prime factorization of 98567 in exponential form is:

98567 = 7¹ × 14081¹

Step-3: Factors of 98560

List of positive integer factors of 98560 that divides 98560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 11, 14, 16, 20, 22, 28, 32, 35, 40, 44, 55, 56, 64, 70, 77, 80, 88, 110, 112, 128, 140, 154, 160, 176, 220, 224, 256, 280, 308, 320, 352, 385, 440, 448, 560, 616, 640, 704, 770, 880, 896, 1120, 1232, 1280, 1408, 1540, 1760, 1792, 2240, 2464, 2816, 3080, 3520, 4480, 4928, 6160, 7040, 8960, 9856, 12320, 14080, 19712, 24640, 49280

Step-4: Factors of 98567

List of positive integer factors of 98567 that divides 98560 without a remainder.

1, 7, 14081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98560 and 98567. The biggest common factor number is the GCF number.
So the greatest common factor 98560 and 98567 is 7.

Also check out the Least Common Multiple of 98560 and 98567