What is the Greatest Common Factor of 97940 and 97944?
Greatest common factor (GCF) of 97940 and 97944 is 4.
GCF(97940,97944) = 4
We will now calculate the prime factors of 97940 and 97944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97940 and 97944.
How to find the GCF of 97940 and 97944?
We will first find the prime factorization of 97940 and 97944. After we will calculate the factors of 97940 and 97944 and find the biggest common factor number .
Step-1: Prime Factorization of 97940
Prime factors of 97940 are 2, 5, 59, 83. Prime factorization of 97940 in exponential form is:
97940 = 22 × 51 × 591 × 831
Step-2: Prime Factorization of 97944
Prime factors of 97944 are 2, 3, 7, 11, 53. Prime factorization of 97944 in exponential form is:
97944 = 23 × 31 × 71 × 111 × 531
Step-3: Factors of 97940
List of positive integer factors of 97940 that divides 97940 without a remainder.
1, 2, 4, 5, 10, 20, 59, 83, 118, 166, 236, 295, 332, 415, 590, 830, 1180, 1660, 4897, 9794, 19588, 24485, 48970
Step-4: Factors of 97944
List of positive integer factors of 97944 that divides 97940 without a remainder.
1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 21, 22, 24, 28, 33, 42, 44, 53, 56, 66, 77, 84, 88, 106, 132, 154, 159, 168, 212, 231, 264, 308, 318, 371, 424, 462, 583, 616, 636, 742, 924, 1113, 1166, 1272, 1484, 1749, 1848, 2226, 2332, 2968, 3498, 4081, 4452, 4664, 6996, 8162, 8904, 12243, 13992, 16324, 24486, 32648, 48972
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 97940 and 97944. The biggest common factor number is the GCF number.
So the greatest common factor 97940 and 97944 is 4.
Also check out the Least Common Multiple of 97940 and 97944
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