What is the Greatest Common Factor of 37952 and 37968?
Greatest common factor (GCF) of 37952 and 37968 is 16.
GCF(37952,37968) = 16
We will now calculate the prime factors of 37952 and 37968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37952 and 37968.
How to find the GCF of 37952 and 37968?
We will first find the prime factorization of 37952 and 37968. After we will calculate the factors of 37952 and 37968 and find the biggest common factor number .
Step-1: Prime Factorization of 37952
Prime factors of 37952 are 2, 593. Prime factorization of 37952 in exponential form is:
37952 = 26 × 5931
Step-2: Prime Factorization of 37968
Prime factors of 37968 are 2, 3, 7, 113. Prime factorization of 37968 in exponential form is:
37968 = 24 × 31 × 71 × 1131
Step-3: Factors of 37952
List of positive integer factors of 37952 that divides 37952 without a remainder.
1, 2, 4, 8, 16, 32, 64, 593, 1186, 2372, 4744, 9488, 18976
Step-4: Factors of 37968
List of positive integer factors of 37968 that divides 37952 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 113, 168, 226, 336, 339, 452, 678, 791, 904, 1356, 1582, 1808, 2373, 2712, 3164, 4746, 5424, 6328, 9492, 12656, 18984
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 37952 and 37968. The biggest common factor number is the GCF number.
So the greatest common factor 37952 and 37968 is 16.
Also check out the Least Common Multiple of 37952 and 37968
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