What is the Greatest Common Factor of 87188 and 87202?

Greatest common factor (GCF) of 87188 and 87202 is 2.

GCF(87188,87202) = 2

We will now calculate the prime factors of 87188 and 87202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87188 and 87202.

How to find the GCF of 87188 and 87202?

We will first find the prime factorization of 87188 and 87202. After we will calculate the factors of 87188 and 87202 and find the biggest common factor number .

Step-1: Prime Factorization of 87188

Prime factors of 87188 are 2, 71, 307. Prime factorization of 87188 in exponential form is:

87188 = 2² × 71¹ × 307¹

Step-2: Prime Factorization of 87202

Prime factors of 87202 are 2, 59, 739. Prime factorization of 87202 in exponential form is:

87202 = 2¹ × 59¹ × 739¹

Step-3: Factors of 87188

List of positive integer factors of 87188 that divides 87188 without a remainder.

1, 2, 4, 71, 142, 284, 307, 614, 1228, 21797, 43594

Step-4: Factors of 87202

List of positive integer factors of 87202 that divides 87188 without a remainder.

1, 2, 59, 118, 739, 1478, 43601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87188 and 87202. The biggest common factor number is the GCF number.
So the greatest common factor 87188 and 87202 is 2.

Also check out the Least Common Multiple of 87188 and 87202