What is the Greatest Common Factor of 87927 and 87942?

Greatest common factor (GCF) of 87927 and 87942 is 3.

GCF(87927,87942) = 3

We will now calculate the prime factors of 87927 and 87942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87927 and 87942.

How to find the GCF of 87927 and 87942?

We will first find the prime factorization of 87927 and 87942. After we will calculate the factors of 87927 and 87942 and find the biggest common factor number .

Step-1: Prime Factorization of 87927

Prime factors of 87927 are 3, 7, 53, 79. Prime factorization of 87927 in exponential form is:

87927 = 3¹ × 7¹ × 53¹ × 79¹

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 87927

List of positive integer factors of 87927 that divides 87927 without a remainder.

1, 3, 7, 21, 53, 79, 159, 237, 371, 553, 1113, 1659, 4187, 12561, 29309

Step-4: Factors of 87942

List of positive integer factors of 87942 that divides 87927 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87927 and 87942. The biggest common factor number is the GCF number.
So the greatest common factor 87927 and 87942 is 3.

Also check out the Least Common Multiple of 87927 and 87942