What is the Greatest Common Factor of 77370 and 77378?
Greatest common factor (GCF) of 77370 and 77378 is 2.
GCF(77370,77378) = 2
We will now calculate the prime factors of 77370 and 77378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77370 and 77378.
How to find the GCF of 77370 and 77378?
We will first find the prime factorization of 77370 and 77378. After we will calculate the factors of 77370 and 77378 and find the biggest common factor number .
Step-1: Prime Factorization of 77370
Prime factors of 77370 are 2, 3, 5, 2579. Prime factorization of 77370 in exponential form is:
77370 = 21 × 31 × 51 × 25791
Step-2: Prime Factorization of 77378
Prime factors of 77378 are 2, 7, 5527. Prime factorization of 77378 in exponential form is:
77378 = 21 × 71 × 55271
Step-3: Factors of 77370
List of positive integer factors of 77370 that divides 77370 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 2579, 5158, 7737, 12895, 15474, 25790, 38685
Step-4: Factors of 77378
List of positive integer factors of 77378 that divides 77370 without a remainder.
1, 2, 7, 14, 5527, 11054, 38689
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 77370 and 77378. The biggest common factor number is the GCF number.
So the greatest common factor 77370 and 77378 is 2.
Also check out the Least Common Multiple of 77370 and 77378
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