What is the Greatest Common Factor of 87660 and 87674?

Greatest common factor (GCF) of 87660 and 87674 is 2.

GCF(87660,87674) = 2

We will now calculate the prime factors of 87660 and 87674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87660 and 87674.

How to find the GCF of 87660 and 87674?

We will first find the prime factorization of 87660 and 87674. After we will calculate the factors of 87660 and 87674 and find the biggest common factor number .

Step-1: Prime Factorization of 87660

Prime factors of 87660 are 2, 3, 5, 487. Prime factorization of 87660 in exponential form is:

87660 = 2² × 3² × 5¹ × 487¹

Step-2: 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-3: Factors of 87660

List of positive integer factors of 87660 that divides 87660 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 487, 974, 1461, 1948, 2435, 2922, 4383, 4870, 5844, 7305, 8766, 9740, 14610, 17532, 21915, 29220, 43830

Step-4: Factors of 87674

List of positive integer factors of 87674 that divides 87660 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87660 and 87674. The biggest common factor number is the GCF number.
So the greatest common factor 87660 and 87674 is 2.

Also check out the Least Common Multiple of 87660 and 87674