What is the Greatest Common Factor of 87016 and 87022?

Greatest common factor (GCF) of 87016 and 87022 is 2.

GCF(87016,87022) = 2

We will now calculate the prime factors of 87016 and 87022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87016 and 87022.

How to find the GCF of 87016 and 87022?

We will first find the prime factorization of 87016 and 87022. After we will calculate the factors of 87016 and 87022 and find the biggest common factor number .

Step-1: Prime Factorization of 87016

Prime factors of 87016 are 2, 73, 149. Prime factorization of 87016 in exponential form is:

87016 = 2³ × 73¹ × 149¹

Step-2: Prime Factorization of 87022

Prime factors of 87022 are 2, 13, 3347. Prime factorization of 87022 in exponential form is:

87022 = 2¹ × 13¹ × 3347¹

Step-3: Factors of 87016

List of positive integer factors of 87016 that divides 87016 without a remainder.

1, 2, 4, 8, 73, 146, 149, 292, 298, 584, 596, 1192, 10877, 21754, 43508

Step-4: Factors of 87022

List of positive integer factors of 87022 that divides 87016 without a remainder.

1, 2, 13, 26, 3347, 6694, 43511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87016 and 87022. The biggest common factor number is the GCF number.
So the greatest common factor 87016 and 87022 is 2.

Also check out the Least Common Multiple of 87016 and 87022