What is the Greatest Common Factor of 97749 and 97767?

Greatest common factor (GCF) of 97749 and 97767 is 9.

GCF(97749,97767) = 9

We will now calculate the prime factors of 97749 and 97767, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97749 and 97767.

How to find the GCF of 97749 and 97767?

We will first find the prime factorization of 97749 and 97767. After we will calculate the factors of 97749 and 97767 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 97767

Prime factors of 97767 are 3, 17, 71. Prime factorization of 97767 in exponential form is:

97767 = 3⁴ × 17¹ × 71¹

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 97767

List of positive integer factors of 97767 that divides 97749 without a remainder.

1, 3, 9, 17, 27, 51, 71, 81, 153, 213, 459, 639, 1207, 1377, 1917, 3621, 5751, 10863, 32589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97749 and 97767. The biggest common factor number is the GCF number.
So the greatest common factor 97749 and 97767 is 9.

Also check out the Least Common Multiple of 97749 and 97767