What is the Greatest Common Factor of 97538 and 97552?

Greatest common factor (GCF) of 97538 and 97552 is 14.

GCF(97538,97552) = 14

We will now calculate the prime factors of 97538 and 97552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97538 and 97552.

How to find the GCF of 97538 and 97552?

We will first find the prime factorization of 97538 and 97552. After we will calculate the factors of 97538 and 97552 and find the biggest common factor number .

Step-1: Prime Factorization of 97538

Prime factors of 97538 are 2, 7, 6967. Prime factorization of 97538 in exponential form is:

97538 = 2¹ × 7¹ × 6967¹

Step-2: 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-3: Factors of 97538

List of positive integer factors of 97538 that divides 97538 without a remainder.

1, 2, 7, 14, 6967, 13934, 48769

Step-4: Factors of 97552

List of positive integer factors of 97552 that divides 97538 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97538 and 97552. The biggest common factor number is the GCF number.
So the greatest common factor 97538 and 97552 is 14.

Also check out the Least Common Multiple of 97538 and 97552