What is the Greatest Common Factor of 87974 and 87986?

Greatest common factor (GCF) of 87974 and 87986 is 2.

GCF(87974,87986) = 2

We will now calculate the prime factors of 87974 and 87986, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87974 and 87986.

How to find the GCF of 87974 and 87986?

We will first find the prime factorization of 87974 and 87986. After we will calculate the factors of 87974 and 87986 and find the biggest common factor number .

Step-1: Prime Factorization of 87974

Prime factors of 87974 are 2, 43987. Prime factorization of 87974 in exponential form is:

87974 = 2¹ × 43987¹

Step-2: Prime Factorization of 87986

Prime factors of 87986 are 2, 29, 37, 41. Prime factorization of 87986 in exponential form is:

87986 = 2¹ × 29¹ × 37¹ × 41¹

Step-3: Factors of 87974

List of positive integer factors of 87974 that divides 87974 without a remainder.

1, 2, 43987

Step-4: Factors of 87986

List of positive integer factors of 87986 that divides 87974 without a remainder.

1, 2, 29, 37, 41, 58, 74, 82, 1073, 1189, 1517, 2146, 2378, 3034, 43993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87974 and 87986. The biggest common factor number is the GCF number.
So the greatest common factor 87974 and 87986 is 2.

Also check out the Least Common Multiple of 87974 and 87986