What is the Greatest Common Factor of 97748 and 97762?

Greatest common factor (GCF) of 97748 and 97762 is 14.

GCF(97748,97762) = 14

We will now calculate the prime factors of 97748 and 97762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97748 and 97762.

How to find the GCF of 97748 and 97762?

We will first find the prime factorization of 97748 and 97762. After we will calculate the factors of 97748 and 97762 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97762

Prime factors of 97762 are 2, 7, 6983. Prime factorization of 97762 in exponential form is:

97762 = 2¹ × 7¹ × 6983¹

Step-3: Factors of 97748

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

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

Step-4: Factors of 97762

List of positive integer factors of 97762 that divides 97748 without a remainder.

1, 2, 7, 14, 6983, 13966, 48881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97748 and 97762. The biggest common factor number is the GCF number.
So the greatest common factor 97748 and 97762 is 14.

Also check out the Least Common Multiple of 97748 and 97762