What is the Greatest Common Factor of 71144 and 71148?
Greatest common factor (GCF) of 71144 and 71148 is 4.
GCF(71144,71148) = 4
We will now calculate the prime factors of 71144 and 71148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71144 and 71148.
How to find the GCF of 71144 and 71148?
We will first find the prime factorization of 71144 and 71148. After we will calculate the factors of 71144 and 71148 and find the biggest common factor number .
Step-1: Prime Factorization of 71144
Prime factors of 71144 are 2, 8893. Prime factorization of 71144 in exponential form is:
71144 = 23 × 88931
Step-2: Prime Factorization of 71148
Prime factors of 71148 are 2, 3, 7, 11. Prime factorization of 71148 in exponential form is:
71148 = 22 × 31 × 72 × 112
Step-3: Factors of 71144
List of positive integer factors of 71144 that divides 71144 without a remainder.
1, 2, 4, 8, 8893, 17786, 35572
Step-4: Factors of 71148
List of positive integer factors of 71148 that divides 71144 without a remainder.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 49, 66, 77, 84, 98, 121, 132, 147, 154, 196, 231, 242, 294, 308, 363, 462, 484, 539, 588, 726, 847, 924, 1078, 1452, 1617, 1694, 2156, 2541, 3234, 3388, 5082, 5929, 6468, 10164, 11858, 17787, 23716, 35574
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 71144 and 71148. The biggest common factor number is the GCF number.
So the greatest common factor 71144 and 71148 is 4.
Also check out the Least Common Multiple of 71144 and 71148
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