What is the Greatest Common Factor of 97540 and 97552?
Greatest common factor (GCF) of 97540 and 97552 is 4.
GCF(97540,97552) = 4
We will now calculate the prime factors of 97540 and 97552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97540 and 97552.
How to find the GCF of 97540 and 97552?
We will first find the prime factorization of 97540 and 97552. After we will calculate the factors of 97540 and 97552 and find the biggest common factor number .
Step-1: Prime Factorization of 97540
Prime factors of 97540 are 2, 5, 4877. Prime factorization of 97540 in exponential form is:
97540 = 22 × 51 × 48771
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 97540
List of positive integer factors of 97540 that divides 97540 without a remainder.
1, 2, 4, 5, 10, 20, 4877, 9754, 19508, 24385, 48770
Step-4: Factors of 97552
List of positive integer factors of 97552 that divides 97540 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 97540 and 97552. The biggest common factor number is the GCF number.
So the greatest common factor 97540 and 97552 is 4.
Also check out the Least Common Multiple of 97540 and 97552
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