What is the Greatest Common Factor of 60272 and 60290?

Greatest common factor (GCF) of 60272 and 60290 is 2.

GCF(60272,60290) = 2

We will now calculate the prime factors of 60272 and 60290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60272 and 60290.

How to find the GCF of 60272 and 60290?

We will first find the prime factorization of 60272 and 60290. After we will calculate the factors of 60272 and 60290 and find the biggest common factor number .

Step-1: Prime Factorization of 60272

Prime factors of 60272 are 2, 3767. Prime factorization of 60272 in exponential form is:

60272 = 2⁴ × 3767¹

Step-2: Prime Factorization of 60290

Prime factors of 60290 are 2, 5, 6029. Prime factorization of 60290 in exponential form is:

60290 = 2¹ × 5¹ × 6029¹

Step-3: Factors of 60272

List of positive integer factors of 60272 that divides 60272 without a remainder.

1, 2, 4, 8, 16, 3767, 7534, 15068, 30136

Step-4: Factors of 60290

List of positive integer factors of 60290 that divides 60272 without a remainder.

1, 2, 5, 10, 6029, 12058, 30145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60272 and 60290. The biggest common factor number is the GCF number.
So the greatest common factor 60272 and 60290 is 2.

Also check out the Least Common Multiple of 60272 and 60290