What is the Greatest Common Factor of 87674 and 87688?

Greatest common factor (GCF) of 87674 and 87688 is 2.

GCF(87674,87688) = 2

We will now calculate the prime factors of 87674 and 87688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87674 and 87688.

How to find the GCF of 87674 and 87688?

We will first find the prime factorization of 87674 and 87688. After we will calculate the factors of 87674 and 87688 and find the biggest common factor number .

Step-1: Prime Factorization of 87674

Prime factors of 87674 are 2, 59, 743. Prime factorization of 87674 in exponential form is:

87674 = 2¹ × 59¹ × 743¹

Step-2: Prime Factorization of 87688

Prime factors of 87688 are 2, 97, 113. Prime factorization of 87688 in exponential form is:

87688 = 2³ × 97¹ × 113¹

Step-3: Factors of 87674

List of positive integer factors of 87674 that divides 87674 without a remainder.

1, 2, 59, 118, 743, 1486, 43837

Step-4: Factors of 87688

List of positive integer factors of 87688 that divides 87674 without a remainder.

1, 2, 4, 8, 97, 113, 194, 226, 388, 452, 776, 904, 10961, 21922, 43844

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87674 and 87688. The biggest common factor number is the GCF number.
So the greatest common factor 87674 and 87688 is 2.

Also check out the Least Common Multiple of 87674 and 87688