What is the Greatest Common Factor of 87206 and 87220?

Greatest common factor (GCF) of 87206 and 87220 is 14.

GCF(87206,87220) = 14

We will now calculate the prime factors of 87206 and 87220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87206 and 87220.

How to find the GCF of 87206 and 87220?

We will first find the prime factorization of 87206 and 87220. After we will calculate the factors of 87206 and 87220 and find the biggest common factor number .

Step-1: Prime Factorization of 87206

Prime factors of 87206 are 2, 7, 6229. Prime factorization of 87206 in exponential form is:

87206 = 2¹ × 7¹ × 6229¹

Step-2: Prime Factorization of 87220

Prime factors of 87220 are 2, 5, 7, 89. Prime factorization of 87220 in exponential form is:

87220 = 2² × 5¹ × 7² × 89¹

Step-3: Factors of 87206

List of positive integer factors of 87206 that divides 87206 without a remainder.

1, 2, 7, 14, 6229, 12458, 43603

Step-4: Factors of 87220

List of positive integer factors of 87220 that divides 87206 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 89, 98, 140, 178, 196, 245, 356, 445, 490, 623, 890, 980, 1246, 1780, 2492, 3115, 4361, 6230, 8722, 12460, 17444, 21805, 43610

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87206 and 87220. The biggest common factor number is the GCF number.
So the greatest common factor 87206 and 87220 is 14.

Also check out the Least Common Multiple of 87206 and 87220