What is the Greatest Common Factor of 87668 and 87673?

Greatest common factor (GCF) of 87668 and 87673 is 1.

GCF(87668,87673) = 1

We will now calculate the prime factors of 87668 and 87673, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87668 and 87673.

How to find the GCF of 87668 and 87673?

We will first find the prime factorization of 87668 and 87673. After we will calculate the factors of 87668 and 87673 and find the biggest common factor number .

Step-1: Prime Factorization of 87668

Prime factors of 87668 are 2, 7, 31, 101. Prime factorization of 87668 in exponential form is:

87668 = 2² × 7¹ × 31¹ × 101¹

Step-2: Prime Factorization of 87673

Prime factors of 87673 are 73, 1201. Prime factorization of 87673 in exponential form is:

87673 = 73¹ × 1201¹

Step-3: Factors of 87668

List of positive integer factors of 87668 that divides 87668 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 101, 124, 202, 217, 404, 434, 707, 868, 1414, 2828, 3131, 6262, 12524, 21917, 43834

Step-4: Factors of 87673

List of positive integer factors of 87673 that divides 87668 without a remainder.

1, 73, 1201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87668 and 87673. The biggest common factor number is the GCF number.
So the greatest common factor 87668 and 87673 is 1.

Also check out the Least Common Multiple of 87668 and 87673