What is the Greatest Common Factor of 87971 and 87976?

Greatest common factor (GCF) of 87971 and 87976 is 1.

GCF(87971,87976) = 1

We will now calculate the prime factors of 87971 and 87976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87971 and 87976.

How to find the GCF of 87971 and 87976?

We will first find the prime factorization of 87971 and 87976. After we will calculate the factors of 87971 and 87976 and find the biggest common factor number .

Step-1: Prime Factorization of 87971

Prime factors of 87971 are 13, 67, 101. Prime factorization of 87971 in exponential form is:

87971 = 13¹ × 67¹ × 101¹

Step-2: Prime Factorization of 87976

Prime factors of 87976 are 2, 7, 1571. Prime factorization of 87976 in exponential form is:

87976 = 2³ × 7¹ × 1571¹

Step-3: Factors of 87971

List of positive integer factors of 87971 that divides 87971 without a remainder.

1, 13, 67, 101, 871, 1313, 6767

Step-4: Factors of 87976

List of positive integer factors of 87976 that divides 87971 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1571, 3142, 6284, 10997, 12568, 21994, 43988

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87971 and 87976. The biggest common factor number is the GCF number.
So the greatest common factor 87971 and 87976 is 1.

Also check out the Least Common Multiple of 87971 and 87976