What is the Greatest Common Factor of 77100 and 77115?
Greatest common factor (GCF) of 77100 and 77115 is 15.
GCF(77100,77115) = 15
We will now calculate the prime factors of 77100 and 77115, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77100 and 77115.
How to find the GCF of 77100 and 77115?
We will first find the prime factorization of 77100 and 77115. After we will calculate the factors of 77100 and 77115 and find the biggest common factor number .
Step-1: Prime Factorization of 77100
Prime factors of 77100 are 2, 3, 5, 257. Prime factorization of 77100 in exponential form is:
77100 = 22 × 31 × 52 × 2571
Step-2: Prime Factorization of 77115
Prime factors of 77115 are 3, 5, 53, 97. Prime factorization of 77115 in exponential form is:
77115 = 31 × 51 × 531 × 971
Step-3: Factors of 77100
List of positive integer factors of 77100 that divides 77100 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 257, 300, 514, 771, 1028, 1285, 1542, 2570, 3084, 3855, 5140, 6425, 7710, 12850, 15420, 19275, 25700, 38550
Step-4: Factors of 77115
List of positive integer factors of 77115 that divides 77100 without a remainder.
1, 3, 5, 15, 53, 97, 159, 265, 291, 485, 795, 1455, 5141, 15423, 25705
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 77100 and 77115. The biggest common factor number is the GCF number.
So the greatest common factor 77100 and 77115 is 15.
Also check out the Least Common Multiple of 77100 and 77115
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