What is the Greatest Common Factor of 60199 and 60207?

Greatest common factor (GCF) of 60199 and 60207 is 1.

GCF(60199,60207) = 1

We will now calculate the prime factors of 60199 and 60207, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60199 and 60207.

How to find the GCF of 60199 and 60207?

We will first find the prime factorization of 60199 and 60207. After we will calculate the factors of 60199 and 60207 and find the biggest common factor number .

Step-1: Prime Factorization of 60199

Prime factors of 60199 are 37, 1627. Prime factorization of 60199 in exponential form is:

60199 = 37¹ × 1627¹

Step-2: Prime Factorization of 60207

Prime factors of 60207 are 3, 7, 47, 61. Prime factorization of 60207 in exponential form is:

60207 = 3¹ × 7¹ × 47¹ × 61¹

Step-3: Factors of 60199

List of positive integer factors of 60199 that divides 60199 without a remainder.

1, 37, 1627

Step-4: Factors of 60207

List of positive integer factors of 60207 that divides 60199 without a remainder.

1, 3, 7, 21, 47, 61, 141, 183, 329, 427, 987, 1281, 2867, 8601, 20069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60199 and 60207. The biggest common factor number is the GCF number.
So the greatest common factor 60199 and 60207 is 1.

Also check out the Least Common Multiple of 60199 and 60207