What is the Greatest Common Factor of 77132 and 77144?
Greatest common factor (GCF) of 77132 and 77144 is 4.
GCF(77132,77144) = 4
We will now calculate the prime factors of 77132 and 77144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77132 and 77144.
How to find the GCF of 77132 and 77144?
We will first find the prime factorization of 77132 and 77144. After we will calculate the factors of 77132 and 77144 and find the biggest common factor number .
Step-1: Prime Factorization of 77132
Prime factors of 77132 are 2, 11, 1753. Prime factorization of 77132 in exponential form is:
77132 = 22 × 111 × 17531
Step-2: Prime Factorization of 77144
Prime factors of 77144 are 2, 9643. Prime factorization of 77144 in exponential form is:
77144 = 23 × 96431
Step-3: Factors of 77132
List of positive integer factors of 77132 that divides 77132 without a remainder.
1, 2, 4, 11, 22, 44, 1753, 3506, 7012, 19283, 38566
Step-4: Factors of 77144
List of positive integer factors of 77144 that divides 77132 without a remainder.
1, 2, 4, 8, 9643, 19286, 38572
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 77132 and 77144. The biggest common factor number is the GCF number.
So the greatest common factor 77132 and 77144 is 4.
Also check out the Least Common Multiple of 77132 and 77144
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