What is the Greatest Common Factor of 87971 and 87980?

Greatest common factor (GCF) of 87971 and 87980 is 1.

GCF(87971,87980) = 1

We will now calculate the prime factors of 87971 and 87980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87971 and 87980.

How to find the GCF of 87971 and 87980?

We will first find the prime factorization of 87971 and 87980. After we will calculate the factors of 87971 and 87980 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 87980

Prime factors of 87980 are 2, 5, 53, 83. Prime factorization of 87980 in exponential form is:

87980 = 2² × 5¹ × 53¹ × 83¹

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 87980

List of positive integer factors of 87980 that divides 87971 without a remainder.

1, 2, 4, 5, 10, 20, 53, 83, 106, 166, 212, 265, 332, 415, 530, 830, 1060, 1660, 4399, 8798, 17596, 21995, 43990

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87971 and 87980. The biggest common factor number is the GCF number.
So the greatest common factor 87971 and 87980 is 1.

Also check out the Least Common Multiple of 87971 and 87980