What is the Greatest Common Factor of 97552 and 97569?

Greatest common factor (GCF) of 97552 and 97569 is 1.

GCF(97552,97569) = 1

We will now calculate the prime factors of 97552 and 97569, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97552 and 97569.

How to find the GCF of 97552 and 97569?

We will first find the prime factorization of 97552 and 97569. After we will calculate the factors of 97552 and 97569 and find the biggest common factor number .

Step-1: Prime Factorization of 97552

Prime factors of 97552 are 2, 7, 13, 67. Prime factorization of 97552 in exponential form is:

97552 = 2⁴ × 7¹ × 13¹ × 67¹

Step-2: Prime Factorization of 97569

Prime factors of 97569 are 3, 37, 293. Prime factorization of 97569 in exponential form is:

97569 = 3² × 37¹ × 293¹

Step-3: Factors of 97552

List of positive integer factors of 97552 that divides 97552 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 52, 56, 67, 91, 104, 112, 134, 182, 208, 268, 364, 469, 536, 728, 871, 938, 1072, 1456, 1742, 1876, 3484, 3752, 6097, 6968, 7504, 12194, 13936, 24388, 48776

Step-4: Factors of 97569

List of positive integer factors of 97569 that divides 97552 without a remainder.

1, 3, 9, 37, 111, 293, 333, 879, 2637, 10841, 32523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97552 and 97569. The biggest common factor number is the GCF number.
So the greatest common factor 97552 and 97569 is 1.

Also check out the Least Common Multiple of 97552 and 97569