What is the Greatest Common Factor of 87914 and 87930?

Greatest common factor (GCF) of 87914 and 87930 is 2.

GCF(87914,87930) = 2

We will now calculate the prime factors of 87914 and 87930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87914 and 87930.

How to find the GCF of 87914 and 87930?

We will first find the prime factorization of 87914 and 87930. After we will calculate the factors of 87914 and 87930 and find the biggest common factor number .

Step-1: Prime Factorization of 87914

Prime factors of 87914 are 2, 113, 389. Prime factorization of 87914 in exponential form is:

87914 = 2¹ × 113¹ × 389¹

Step-2: Prime Factorization of 87930

Prime factors of 87930 are 2, 3, 5, 977. Prime factorization of 87930 in exponential form is:

87930 = 2¹ × 3² × 5¹ × 977¹

Step-3: Factors of 87914

List of positive integer factors of 87914 that divides 87914 without a remainder.

1, 2, 113, 226, 389, 778, 43957

Step-4: Factors of 87930

List of positive integer factors of 87930 that divides 87914 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 977, 1954, 2931, 4885, 5862, 8793, 9770, 14655, 17586, 29310, 43965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87914 and 87930. The biggest common factor number is the GCF number.
So the greatest common factor 87914 and 87930 is 2.

Also check out the Least Common Multiple of 87914 and 87930