What is the Greatest Common Factor of 77110 and 77116?
Greatest common factor (GCF) of 77110 and 77116 is 2.
GCF(77110,77116) = 2
We will now calculate the prime factors of 77110 and 77116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77110 and 77116.
How to find the GCF of 77110 and 77116?
We will first find the prime factorization of 77110 and 77116. After we will calculate the factors of 77110 and 77116 and find the biggest common factor number .
Step-1: Prime Factorization of 77110
Prime factors of 77110 are 2, 5, 11, 701. Prime factorization of 77110 in exponential form is:
77110 = 21 × 51 × 111 × 7011
Step-2: Prime Factorization of 77116
Prime factors of 77116 are 2, 13, 1483. Prime factorization of 77116 in exponential form is:
77116 = 22 × 131 × 14831
Step-3: Factors of 77110
List of positive integer factors of 77110 that divides 77110 without a remainder.
1, 2, 5, 10, 11, 22, 55, 110, 701, 1402, 3505, 7010, 7711, 15422, 38555
Step-4: Factors of 77116
List of positive integer factors of 77116 that divides 77110 without a remainder.
1, 2, 4, 13, 26, 52, 1483, 2966, 5932, 19279, 38558
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 77110 and 77116. The biggest common factor number is the GCF number.
So the greatest common factor 77110 and 77116 is 2.
Also check out the Least Common Multiple of 77110 and 77116
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