What is the Greatest Common Factor of 870 and 884?
Greatest common factor (GCF) of 870 and 884 is 2.
GCF(870,884) = 2
We will now calculate the prime factors of 870 and 884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 870 and 884.
How to find the GCF of 870 and 884?
We will first find the prime factorization of 870 and 884. After we will calculate the factors of 870 and 884 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 884
Prime factors of 884 are 2, 13, 17. Prime factorization of 884 in exponential form is:
884 = 22 × 131 × 171
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 884
List of positive integer factors of 884 that divides 870 without a remainder.
1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 870 and 884. The biggest common factor number is the GCF number.
So the greatest common factor 870 and 884 is 2.
Also check out the Least Common Multiple of 870 and 884
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