What is the Greatest Common Factor of 90936 and 90944?
Greatest common factor (GCF) of 90936 and 90944 is 8.
GCF(90936,90944) = 8
We will now calculate the prime factors of 90936 and 90944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90936 and 90944.
How to find the GCF of 90936 and 90944?
We will first find the prime factorization of 90936 and 90944. After we will calculate the factors of 90936 and 90944 and find the biggest common factor number .
Step-1: Prime Factorization of 90936
Prime factors of 90936 are 2, 3, 421. Prime factorization of 90936 in exponential form is:
90936 = 23 × 33 × 4211
Step-2: Prime Factorization of 90944
Prime factors of 90944 are 2, 7, 29. Prime factorization of 90944 in exponential form is:
90944 = 26 × 72 × 291
Step-3: Factors of 90936
List of positive integer factors of 90936 that divides 90936 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 421, 842, 1263, 1684, 2526, 3368, 3789, 5052, 7578, 10104, 11367, 15156, 22734, 30312, 45468
Step-4: Factors of 90944
List of positive integer factors of 90944 that divides 90936 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 29, 32, 49, 56, 58, 64, 98, 112, 116, 196, 203, 224, 232, 392, 406, 448, 464, 784, 812, 928, 1421, 1568, 1624, 1856, 2842, 3136, 3248, 5684, 6496, 11368, 12992, 22736, 45472
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 90936 and 90944. The biggest common factor number is the GCF number.
So the greatest common factor 90936 and 90944 is 8.
Also check out the Least Common Multiple of 90936 and 90944
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