What is the Greatest Common Factor of 97784 and 97801?

Greatest common factor (GCF) of 97784 and 97801 is 17.

GCF(97784,97801) = 17

We will now calculate the prime factors of 97784 and 97801, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97784 and 97801.

How to find the GCF of 97784 and 97801?

We will first find the prime factorization of 97784 and 97801. After we will calculate the factors of 97784 and 97801 and find the biggest common factor number .

Step-1: Prime Factorization of 97784

Prime factors of 97784 are 2, 17, 719. Prime factorization of 97784 in exponential form is:

97784 = 2³ × 17¹ × 719¹

Step-2: Prime Factorization of 97801

Prime factors of 97801 are 11, 17, 523. Prime factorization of 97801 in exponential form is:

97801 = 11¹ × 17¹ × 523¹

Step-3: Factors of 97784

List of positive integer factors of 97784 that divides 97784 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 719, 1438, 2876, 5752, 12223, 24446, 48892

Step-4: Factors of 97801

List of positive integer factors of 97801 that divides 97784 without a remainder.

1, 11, 17, 187, 523, 5753, 8891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97784 and 97801. The biggest common factor number is the GCF number.
So the greatest common factor 97784 and 97801 is 17.

Also check out the Least Common Multiple of 97784 and 97801