What is the Greatest Common Factor of 87942 and 87961?

Greatest common factor (GCF) of 87942 and 87961 is 1.

GCF(87942,87961) = 1

We will now calculate the prime factors of 87942 and 87961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87942 and 87961.

How to find the GCF of 87942 and 87961?

We will first find the prime factorization of 87942 and 87961. After we will calculate the factors of 87942 and 87961 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87961

Prime factors of 87961 are 87961. Prime factorization of 87961 in exponential form is:

87961 = 87961¹

Step-3: Factors of 87942

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

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

Step-4: Factors of 87961

List of positive integer factors of 87961 that divides 87942 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87942 and 87961. The biggest common factor number is the GCF number.
So the greatest common factor 87942 and 87961 is 1.

Also check out the Least Common Multiple of 87942 and 87961