What is the Greatest Common Factor of 66152 and 66172?
Greatest common factor (GCF) of 66152 and 66172 is 4.
GCF(66152,66172) = 4
We will now calculate the prime factors of 66152 and 66172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66152 and 66172.
How to find the GCF of 66152 and 66172?
We will first find the prime factorization of 66152 and 66172. After we will calculate the factors of 66152 and 66172 and find the biggest common factor number .
Step-1: Prime Factorization of 66152
Prime factors of 66152 are 2, 8269. Prime factorization of 66152 in exponential form is:
66152 = 23 × 82691
Step-2: Prime Factorization of 66172
Prime factors of 66172 are 2, 71, 233. Prime factorization of 66172 in exponential form is:
66172 = 22 × 711 × 2331
Step-3: Factors of 66152
List of positive integer factors of 66152 that divides 66152 without a remainder.
1, 2, 4, 8, 8269, 16538, 33076
Step-4: Factors of 66172
List of positive integer factors of 66172 that divides 66152 without a remainder.
1, 2, 4, 71, 142, 233, 284, 466, 932, 16543, 33086
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 66152 and 66172. The biggest common factor number is the GCF number.
So the greatest common factor 66152 and 66172 is 4.
Also check out the Least Common Multiple of 66152 and 66172
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