What is the Greatest Common Factor of 97734 and 97739?

Greatest common factor (GCF) of 97734 and 97739 is 1.

GCF(97734,97739) = 1

We will now calculate the prime factors of 97734 and 97739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97734 and 97739.

How to find the GCF of 97734 and 97739?

We will first find the prime factorization of 97734 and 97739. After we will calculate the factors of 97734 and 97739 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 97739

Prime factors of 97739 are 43, 2273. Prime factorization of 97739 in exponential form is:

97739 = 43¹ × 2273¹

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 97739

List of positive integer factors of 97739 that divides 97734 without a remainder.

1, 43, 2273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97734 and 97739. The biggest common factor number is the GCF number.
So the greatest common factor 97734 and 97739 is 1.

Also check out the Least Common Multiple of 97734 and 97739