What is the Greatest Common Factor of 77361 and 77372?
Greatest common factor (GCF) of 77361 and 77372 is 1.
GCF(77361,77372) = 1
We will now calculate the prime factors of 77361 and 77372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77361 and 77372.
How to find the GCF of 77361 and 77372?
We will first find the prime factorization of 77361 and 77372. After we will calculate the factors of 77361 and 77372 and find the biggest common factor number .
Step-1: Prime Factorization of 77361
Prime factors of 77361 are 3, 107, 241. Prime factorization of 77361 in exponential form is:
77361 = 31 × 1071 × 2411
Step-2: Prime Factorization of 77372
Prime factors of 77372 are 2, 23, 29. Prime factorization of 77372 in exponential form is:
77372 = 22 × 231 × 292
Step-3: Factors of 77361
List of positive integer factors of 77361 that divides 77361 without a remainder.
1, 3, 107, 241, 321, 723, 25787
Step-4: Factors of 77372
List of positive integer factors of 77372 that divides 77361 without a remainder.
1, 2, 4, 23, 29, 46, 58, 92, 116, 667, 841, 1334, 1682, 2668, 3364, 19343, 38686
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 77361 and 77372. The biggest common factor number is the GCF number.
So the greatest common factor 77361 and 77372 is 1.
Also check out the Least Common Multiple of 77361 and 77372
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Related Greatest Common Factors of 77372
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