What is the Greatest Common Factor of 62195 and 62209?

Greatest common factor (GCF) of 62195 and 62209 is 7.

GCF(62195,62209) = 7

We will now calculate the prime factors of 62195 and 62209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62195 and 62209.

How to find the GCF of 62195 and 62209?

We will first find the prime factorization of 62195 and 62209. After we will calculate the factors of 62195 and 62209 and find the biggest common factor number .

Step-1: Prime Factorization of 62195

Prime factors of 62195 are 5, 7, 1777. Prime factorization of 62195 in exponential form is:

62195 = 5¹ × 7¹ × 1777¹

Step-2: Prime Factorization of 62209

Prime factors of 62209 are 7, 8887. Prime factorization of 62209 in exponential form is:

62209 = 7¹ × 8887¹

Step-3: Factors of 62195

List of positive integer factors of 62195 that divides 62195 without a remainder.

1, 5, 7, 35, 1777, 8885, 12439

Step-4: Factors of 62209

List of positive integer factors of 62209 that divides 62195 without a remainder.

1, 7, 8887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62195 and 62209. The biggest common factor number is the GCF number.
So the greatest common factor 62195 and 62209 is 7.

Also check out the Least Common Multiple of 62195 and 62209