What is the Greatest Common Factor of 77970 and 77987?
Greatest common factor (GCF) of 77970 and 77987 is 1.
GCF(77970,77987) = 1
We will now calculate the prime factors of 77970 and 77987, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77970 and 77987.
How to find the GCF of 77970 and 77987?
We will first find the prime factorization of 77970 and 77987. After we will calculate the factors of 77970 and 77987 and find the biggest common factor number .
Step-1: Prime Factorization of 77970
Prime factors of 77970 are 2, 3, 5, 23, 113. Prime factorization of 77970 in exponential form is:
77970 = 21 × 31 × 51 × 231 × 1131
Step-2: Prime Factorization of 77987
Prime factors of 77987 are 7, 13, 857. Prime factorization of 77987 in exponential form is:
77987 = 71 × 131 × 8571
Step-3: Factors of 77970
List of positive integer factors of 77970 that divides 77970 without a remainder.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 113, 115, 138, 226, 230, 339, 345, 565, 678, 690, 1130, 1695, 2599, 3390, 5198, 7797, 12995, 15594, 25990, 38985
Step-4: Factors of 77987
List of positive integer factors of 77987 that divides 77970 without a remainder.
1, 7, 13, 91, 857, 5999, 11141
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 77970 and 77987. The biggest common factor number is the GCF number.
So the greatest common factor 77970 and 77987 is 1.
Also check out the Least Common Multiple of 77970 and 77987
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