What is the Greatest Common Factor of 77946 and 77959?
Greatest common factor (GCF) of 77946 and 77959 is 1.
GCF(77946,77959) = 1
We will now calculate the prime factors of 77946 and 77959, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77946 and 77959.
How to find the GCF of 77946 and 77959?
We will first find the prime factorization of 77946 and 77959. After we will calculate the factors of 77946 and 77959 and find the biggest common factor number .
Step-1: Prime Factorization of 77946
Prime factors of 77946 are 2, 3, 11, 1181. Prime factorization of 77946 in exponential form is:
77946 = 21 × 31 × 111 × 11811
Step-2: Prime Factorization of 77959
Prime factors of 77959 are 7, 37, 43. Prime factorization of 77959 in exponential form is:
77959 = 72 × 371 × 431
Step-3: Factors of 77946
List of positive integer factors of 77946 that divides 77946 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66, 1181, 2362, 3543, 7086, 12991, 25982, 38973
Step-4: Factors of 77959
List of positive integer factors of 77959 that divides 77946 without a remainder.
1, 7, 37, 43, 49, 259, 301, 1591, 1813, 2107, 11137
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 77946 and 77959. The biggest common factor number is the GCF number.
So the greatest common factor 77946 and 77959 is 1.
Also check out the Least Common Multiple of 77946 and 77959
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