What is the Greatest Common Factor of 67232 and 67242?
Greatest common factor (GCF) of 67232 and 67242 is 2.
GCF(67232,67242) = 2
We will now calculate the prime factors of 67232 and 67242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67232 and 67242.
How to find the GCF of 67232 and 67242?
We will first find the prime factorization of 67232 and 67242. After we will calculate the factors of 67232 and 67242 and find the biggest common factor number .
Step-1: Prime Factorization of 67232
Prime factors of 67232 are 2, 11, 191. Prime factorization of 67232 in exponential form is:
67232 = 25 × 111 × 1911
Step-2: Prime Factorization of 67242
Prime factors of 67242 are 2, 3, 7, 1601. Prime factorization of 67242 in exponential form is:
67242 = 21 × 31 × 71 × 16011
Step-3: Factors of 67232
List of positive integer factors of 67232 that divides 67232 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 191, 352, 382, 764, 1528, 2101, 3056, 4202, 6112, 8404, 16808, 33616
Step-4: Factors of 67242
List of positive integer factors of 67242 that divides 67232 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 1601, 3202, 4803, 9606, 11207, 22414, 33621
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 67232 and 67242. The biggest common factor number is the GCF number.
So the greatest common factor 67232 and 67242 is 2.
Also check out the Least Common Multiple of 67232 and 67242
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