What is the Greatest Common Factor of 875 and 884?
Greatest common factor (GCF) of 875 and 884 is 1.
GCF(875,884) = 1
We will now calculate the prime factors of 875 and 884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 875 and 884.
How to find the GCF of 875 and 884?
We will first find the prime factorization of 875 and 884. After we will calculate the factors of 875 and 884 and find the biggest common factor number .
Step-1: Prime Factorization of 875
Prime factors of 875 are 5, 7. Prime factorization of 875 in exponential form is:
875 = 53 × 71
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 875
List of positive integer factors of 875 that divides 875 without a remainder.
1, 5, 7, 25, 35, 125, 175
Step-4: Factors of 884
List of positive integer factors of 884 that divides 875 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 875 and 884. The biggest common factor number is the GCF number.
So the greatest common factor 875 and 884 is 1.
Also check out the Least Common Multiple of 875 and 884
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