What is the Greatest Common Factor of 77252 and 77271?
Greatest common factor (GCF) of 77252 and 77271 is 1.
GCF(77252,77271) = 1
We will now calculate the prime factors of 77252 and 77271, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77252 and 77271.
How to find the GCF of 77252 and 77271?
We will first find the prime factorization of 77252 and 77271. After we will calculate the factors of 77252 and 77271 and find the biggest common factor number .
Step-1: Prime Factorization of 77252
Prime factors of 77252 are 2, 7, 31, 89. Prime factorization of 77252 in exponential form is:
77252 = 22 × 71 × 311 × 891
Step-2: Prime Factorization of 77271
Prime factors of 77271 are 3, 43, 599. Prime factorization of 77271 in exponential form is:
77271 = 31 × 431 × 5991
Step-3: Factors of 77252
List of positive integer factors of 77252 that divides 77252 without a remainder.
1, 2, 4, 7, 14, 28, 31, 62, 89, 124, 178, 217, 356, 434, 623, 868, 1246, 2492, 2759, 5518, 11036, 19313, 38626
Step-4: Factors of 77271
List of positive integer factors of 77271 that divides 77252 without a remainder.
1, 3, 43, 129, 599, 1797, 25757
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 77252 and 77271. The biggest common factor number is the GCF number.
So the greatest common factor 77252 and 77271 is 1.
Also check out the Least Common Multiple of 77252 and 77271
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