What is the Greatest Common Factor of 72208 and 72226?
Greatest common factor (GCF) of 72208 and 72226 is 2.
GCF(72208,72226) = 2
We will now calculate the prime factors of 72208 and 72226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72208 and 72226.
How to find the GCF of 72208 and 72226?
We will first find the prime factorization of 72208 and 72226. After we will calculate the factors of 72208 and 72226 and find the biggest common factor number .
Step-1: Prime Factorization of 72208
Prime factors of 72208 are 2, 4513. Prime factorization of 72208 in exponential form is:
72208 = 24 × 45131
Step-2: Prime Factorization of 72226
Prime factors of 72226 are 2, 7, 11, 67. Prime factorization of 72226 in exponential form is:
72226 = 21 × 72 × 111 × 671
Step-3: Factors of 72208
List of positive integer factors of 72208 that divides 72208 without a remainder.
1, 2, 4, 8, 16, 4513, 9026, 18052, 36104
Step-4: Factors of 72226
List of positive integer factors of 72226 that divides 72208 without a remainder.
1, 2, 7, 11, 14, 22, 49, 67, 77, 98, 134, 154, 469, 539, 737, 938, 1078, 1474, 3283, 5159, 6566, 10318, 36113
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 72208 and 72226. The biggest common factor number is the GCF number.
So the greatest common factor 72208 and 72226 is 2.
Also check out the Least Common Multiple of 72208 and 72226
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