What is the Greatest Common Factor of 1536 and 1546?
Greatest common factor (GCF) of 1536 and 1546 is 2.
GCF(1536,1546) = 2
We will now calculate the prime factors of 1536 and 1546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1536 and 1546.
How to find the GCF of 1536 and 1546?
We will first find the prime factorization of 1536 and 1546. After we will calculate the factors of 1536 and 1546 and find the biggest common factor number .
Step-1: Prime Factorization of 1536
Prime factors of 1536 are 2, 3. Prime factorization of 1536 in exponential form is:
1536 = 29 × 31
Step-2: Prime Factorization of 1546
Prime factors of 1546 are 2, 773. Prime factorization of 1546 in exponential form is:
1546 = 21 × 7731
Step-3: Factors of 1536
List of positive integer factors of 1536 that divides 1536 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 512, 768
Step-4: Factors of 1546
List of positive integer factors of 1546 that divides 1536 without a remainder.
1, 2, 773
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 1536 and 1546. The biggest common factor number is the GCF number.
So the greatest common factor 1536 and 1546 is 2.
Also check out the Least Common Multiple of 1536 and 1546
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