What is the Greatest Common Factor of 72262 and 72266?
Greatest common factor (GCF) of 72262 and 72266 is 2.
GCF(72262,72266) = 2
We will now calculate the prime factors of 72262 and 72266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72262 and 72266.
How to find the GCF of 72262 and 72266?
We will first find the prime factorization of 72262 and 72266. After we will calculate the factors of 72262 and 72266 and find the biggest common factor number .
Step-1: Prime Factorization of 72262
Prime factors of 72262 are 2, 36131. Prime factorization of 72262 in exponential form is:
72262 = 21 × 361311
Step-2: Prime Factorization of 72266
Prime factors of 72266 are 2, 23, 1571. Prime factorization of 72266 in exponential form is:
72266 = 21 × 231 × 15711
Step-3: Factors of 72262
List of positive integer factors of 72262 that divides 72262 without a remainder.
1, 2, 36131
Step-4: Factors of 72266
List of positive integer factors of 72266 that divides 72262 without a remainder.
1, 2, 23, 46, 1571, 3142, 36133
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 72262 and 72266. The biggest common factor number is the GCF number.
So the greatest common factor 72262 and 72266 is 2.
Also check out the Least Common Multiple of 72262 and 72266
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