What is the Greatest Common Factor of 97734 and 97748?

Greatest common factor (GCF) of 97734 and 97748 is 14.

GCF(97734,97748) = 14

We will now calculate the prime factors of 97734 and 97748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97734 and 97748.

How to find the GCF of 97734 and 97748?

We will first find the prime factorization of 97734 and 97748. After we will calculate the factors of 97734 and 97748 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 97748

Prime factors of 97748 are 2, 7, 3491. Prime factorization of 97748 in exponential form is:

97748 = 2² × 7¹ × 3491¹

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 97748

List of positive integer factors of 97748 that divides 97734 without a remainder.

1, 2, 4, 7, 14, 28, 3491, 6982, 13964, 24437, 48874

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97734 and 97748. The biggest common factor number is the GCF number.
So the greatest common factor 97734 and 97748 is 14.

Also check out the Least Common Multiple of 97734 and 97748