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What is the Greatest Common Factor of 87931 and 87942?

Greatest common factor (GCF) of 87931 and 87942 is 1.

GCF(87931,87942) = 1

We will now calculate the prime factors of 87931 and 87942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87931 and 87942.

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How to find the GCF of 87931 and 87942?

We will first find the prime factorization of 87931 and 87942. After we will calculate the factors of 87931 and 87942 and find the biggest common factor number .

Step-1: Prime Factorization of 87931

Prime factors of 87931 are 87931. Prime factorization of 87931 in exponential form is:

87931 = 879311

Step-2: Prime Factorization of 87942

Prime factors of 87942 are 2, 3, 14657. Prime factorization of 87942 in exponential form is:

87942 = 21 × 31 × 146571

Step-3: Factors of 87931

List of positive integer factors of 87931 that divides 87931 without a remainder.

1

Step-4: Factors of 87942

List of positive integer factors of 87942 that divides 87931 without a remainder.

1, 2, 3, 6, 14657, 29314, 43971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87931 and 87942. The biggest common factor number is the GCF number.
So the greatest common factor 87931 and 87942 is 1.

Also check out the Least Common Multiple of 87931 and 87942