What is the Greatest Common Factor of 77268 and 77281?
Greatest common factor (GCF) of 77268 and 77281 is 1.
GCF(77268,77281) = 1
We will now calculate the prime factors of 77268 and 77281, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77268 and 77281.
How to find the GCF of 77268 and 77281?
We will first find the prime factorization of 77268 and 77281. After we will calculate the factors of 77268 and 77281 and find the biggest common factor number .
Step-1: Prime Factorization of 77268
Prime factors of 77268 are 2, 3, 47, 137. Prime factorization of 77268 in exponential form is:
77268 = 22 × 31 × 471 × 1371
Step-2: Prime Factorization of 77281
Prime factors of 77281 are 109, 709. Prime factorization of 77281 in exponential form is:
77281 = 1091 × 7091
Step-3: Factors of 77268
List of positive integer factors of 77268 that divides 77268 without a remainder.
1, 2, 3, 4, 6, 12, 47, 94, 137, 141, 188, 274, 282, 411, 548, 564, 822, 1644, 6439, 12878, 19317, 25756, 38634
Step-4: Factors of 77281
List of positive integer factors of 77281 that divides 77268 without a remainder.
1, 109, 709
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 77268 and 77281. The biggest common factor number is the GCF number.
So the greatest common factor 77268 and 77281 is 1.
Also check out the Least Common Multiple of 77268 and 77281
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