What is the Greatest Common Factor of 97760 and 97774?

Greatest common factor (GCF) of 97760 and 97774 is 2.

GCF(97760,97774) = 2

We will now calculate the prime factors of 97760 and 97774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97760 and 97774.

How to find the GCF of 97760 and 97774?

We will first find the prime factorization of 97760 and 97774. After we will calculate the factors of 97760 and 97774 and find the biggest common factor number .

Step-1: Prime Factorization of 97760

Prime factors of 97760 are 2, 5, 13, 47. Prime factorization of 97760 in exponential form is:

97760 = 2⁵ × 5¹ × 13¹ × 47¹

Step-2: Prime Factorization of 97774

Prime factors of 97774 are 2, 19, 31, 83. Prime factorization of 97774 in exponential form is:

97774 = 2¹ × 19¹ × 31¹ × 83¹

Step-3: Factors of 97760

List of positive integer factors of 97760 that divides 97760 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 47, 52, 65, 80, 94, 104, 130, 160, 188, 208, 235, 260, 376, 416, 470, 520, 611, 752, 940, 1040, 1222, 1504, 1880, 2080, 2444, 3055, 3760, 4888, 6110, 7520, 9776, 12220, 19552, 24440, 48880

Step-4: Factors of 97774

List of positive integer factors of 97774 that divides 97760 without a remainder.

1, 2, 19, 31, 38, 62, 83, 166, 589, 1178, 1577, 2573, 3154, 5146, 48887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97760 and 97774. The biggest common factor number is the GCF number.
So the greatest common factor 97760 and 97774 is 2.

Also check out the Least Common Multiple of 97760 and 97774