What is the Greatest Common Factor of 60236 and 60248?

Greatest common factor (GCF) of 60236 and 60248 is 4.

GCF(60236,60248) = 4

We will now calculate the prime factors of 60236 and 60248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60236 and 60248.

How to find the GCF of 60236 and 60248?

We will first find the prime factorization of 60236 and 60248. After we will calculate the factors of 60236 and 60248 and find the biggest common factor number .

Step-1: Prime Factorization of 60236

Prime factors of 60236 are 2, 11, 37. Prime factorization of 60236 in exponential form is:

60236 = 2² × 11¹ × 37²

Step-2: Prime Factorization of 60248

Prime factors of 60248 are 2, 17, 443. Prime factorization of 60248 in exponential form is:

60248 = 2³ × 17¹ × 443¹

Step-3: Factors of 60236

List of positive integer factors of 60236 that divides 60236 without a remainder.

1, 2, 4, 11, 22, 37, 44, 74, 148, 407, 814, 1369, 1628, 2738, 5476, 15059, 30118

Step-4: Factors of 60248

List of positive integer factors of 60248 that divides 60236 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 443, 886, 1772, 3544, 7531, 15062, 30124

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60236 and 60248. The biggest common factor number is the GCF number.
So the greatest common factor 60236 and 60248 is 4.

Also check out the Least Common Multiple of 60236 and 60248