What is the Greatest Common Factor of 77066 and 77077?
Greatest common factor (GCF) of 77066 and 77077 is 11.
GCF(77066,77077) = 11
We will now calculate the prime factors of 77066 and 77077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77066 and 77077.
How to find the GCF of 77066 and 77077?
We will first find the prime factorization of 77066 and 77077. After we will calculate the factors of 77066 and 77077 and find the biggest common factor number .
Step-1: Prime Factorization of 77066
Prime factors of 77066 are 2, 11, 31, 113. Prime factorization of 77066 in exponential form is:
77066 = 21 × 111 × 311 × 1131
Step-2: Prime Factorization of 77077
Prime factors of 77077 are 7, 11, 13. Prime factorization of 77077 in exponential form is:
77077 = 72 × 112 × 131
Step-3: Factors of 77066
List of positive integer factors of 77066 that divides 77066 without a remainder.
1, 2, 11, 22, 31, 62, 113, 226, 341, 682, 1243, 2486, 3503, 7006, 38533
Step-4: Factors of 77077
List of positive integer factors of 77077 that divides 77066 without a remainder.
1, 7, 11, 13, 49, 77, 91, 121, 143, 539, 637, 847, 1001, 1573, 5929, 7007, 11011
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 77066 and 77077. The biggest common factor number is the GCF number.
So the greatest common factor 77066 and 77077 is 11.
Also check out the Least Common Multiple of 77066 and 77077
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