What is the Greatest Common Factor of 870 and 877?
Greatest common factor (GCF) of 870 and 877 is 1.
GCF(870,877) = 1
We will now calculate the prime factors of 870 and 877, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 870 and 877.
How to find the GCF of 870 and 877?
We will first find the prime factorization of 870 and 877. After we will calculate the factors of 870 and 877 and find the biggest common factor number .
Step-1: Prime Factorization of 870
Prime factors of 870 are 2, 3, 5, 29. Prime factorization of 870 in exponential form is:
870 = 21 × 31 × 51 × 291
Step-2: Prime Factorization of 877
Prime factors of 877 are 877. Prime factorization of 877 in exponential form is:
877 = 8771
Step-3: Factors of 870
List of positive integer factors of 870 that divides 870 without a remainder.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435
Step-4: Factors of 877
List of positive integer factors of 877 that divides 870 without a remainder.
1
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 870 and 877. The biggest common factor number is the GCF number.
So the greatest common factor 870 and 877 is 1.
Also check out the Least Common Multiple of 870 and 877
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