What is the Greatest Common Factor of 97749 and 97760?

Greatest common factor (GCF) of 97749 and 97760 is 1.

GCF(97749,97760) = 1

We will now calculate the prime factors of 97749 and 97760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97749 and 97760.

How to find the GCF of 97749 and 97760?

We will first find the prime factorization of 97749 and 97760. After we will calculate the factors of 97749 and 97760 and find the biggest common factor number .

Step-1: Prime Factorization of 97749

Prime factors of 97749 are 3, 10861. Prime factorization of 97749 in exponential form is:

97749 = 3² × 10861¹

Step-2: 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-3: Factors of 97749

List of positive integer factors of 97749 that divides 97749 without a remainder.

1, 3, 9, 10861, 32583

Step-4: Factors of 97760

List of positive integer factors of 97760 that divides 97749 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97749 and 97760. The biggest common factor number is the GCF number.
So the greatest common factor 97749 and 97760 is 1.

Also check out the Least Common Multiple of 97749 and 97760