What is the Greatest Common Factor of 97734 and 97749?

Greatest common factor (GCF) of 97734 and 97749 is 3.

GCF(97734,97749) = 3

We will now calculate the prime factors of 97734 and 97749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97734 and 97749.

How to find the GCF of 97734 and 97749?

We will first find the prime factorization of 97734 and 97749. After we will calculate the factors of 97734 and 97749 and find the biggest common factor number .

Step-1: Prime Factorization of 97734

Prime factors of 97734 are 2, 3, 7, 13, 179. Prime factorization of 97734 in exponential form is:

97734 = 2¹ × 3¹ × 7¹ × 13¹ × 179¹

Step-2: Prime Factorization of 97749

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

97749 = 3² × 10861¹

Step-3: Factors of 97734

List of positive integer factors of 97734 that divides 97734 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 179, 182, 273, 358, 537, 546, 1074, 1253, 2327, 2506, 3759, 4654, 6981, 7518, 13962, 16289, 32578, 48867

Step-4: Factors of 97749

List of positive integer factors of 97749 that divides 97734 without a remainder.

1, 3, 9, 10861, 32583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97734 and 97749. The biggest common factor number is the GCF number.
So the greatest common factor 97734 and 97749 is 3.

Also check out the Least Common Multiple of 97734 and 97749