What is the Greatest Common Factor of 97552 and 97565?

Greatest common factor (GCF) of 97552 and 97565 is 13.

GCF(97552,97565) = 13

We will now calculate the prime factors of 97552 and 97565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97552 and 97565.

How to find the GCF of 97552 and 97565?

We will first find the prime factorization of 97552 and 97565. After we will calculate the factors of 97552 and 97565 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 97565

Prime factors of 97565 are 5, 13, 19, 79. Prime factorization of 97565 in exponential form is:

97565 = 5¹ × 13¹ × 19¹ × 79¹

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 97565

List of positive integer factors of 97565 that divides 97552 without a remainder.

1, 5, 13, 19, 65, 79, 95, 247, 395, 1027, 1235, 1501, 5135, 7505, 19513

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97552 and 97565. The biggest common factor number is the GCF number.
So the greatest common factor 97552 and 97565 is 13.

Also check out the Least Common Multiple of 97552 and 97565