What is the Greatest Common Factor of 77297 and 77316?
Greatest common factor (GCF) of 77297 and 77316 is 1.
GCF(77297,77316) = 1
We will now calculate the prime factors of 77297 and 77316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77297 and 77316.
How to find the GCF of 77297 and 77316?
We will first find the prime factorization of 77297 and 77316. After we will calculate the factors of 77297 and 77316 and find the biggest common factor number .
Step-1: Prime Factorization of 77297
Prime factors of 77297 are 11, 7027. Prime factorization of 77297 in exponential form is:
77297 = 111 × 70271
Step-2: Prime Factorization of 77316
Prime factors of 77316 are 2, 3, 17, 379. Prime factorization of 77316 in exponential form is:
77316 = 22 × 31 × 171 × 3791
Step-3: Factors of 77297
List of positive integer factors of 77297 that divides 77297 without a remainder.
1, 11, 7027
Step-4: Factors of 77316
List of positive integer factors of 77316 that divides 77297 without a remainder.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 379, 758, 1137, 1516, 2274, 4548, 6443, 12886, 19329, 25772, 38658
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 77297 and 77316. The biggest common factor number is the GCF number.
So the greatest common factor 77297 and 77316 is 1.
Also check out the Least Common Multiple of 77297 and 77316
Related Greatest Common Factors of 77297
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- GCF of 77297 and 77316
- GCF of 77297 and 77317
Related Greatest Common Factors of 77316
- GCF of 77316 and 77320
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