What is the Greatest Common Factor of 60354 and 60370?

Greatest common factor (GCF) of 60354 and 60370 is 2.

GCF(60354,60370) = 2

We will now calculate the prime factors of 60354 and 60370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60354 and 60370.

How to find the GCF of 60354 and 60370?

We will first find the prime factorization of 60354 and 60370. After we will calculate the factors of 60354 and 60370 and find the biggest common factor number .

Step-1: Prime Factorization of 60354

Prime factors of 60354 are 2, 3, 7, 479. Prime factorization of 60354 in exponential form is:

60354 = 2¹ × 3² × 7¹ × 479¹

Step-2: Prime Factorization of 60370

Prime factors of 60370 are 2, 5, 6037. Prime factorization of 60370 in exponential form is:

60370 = 2¹ × 5¹ × 6037¹

Step-3: Factors of 60354

List of positive integer factors of 60354 that divides 60354 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 479, 958, 1437, 2874, 3353, 4311, 6706, 8622, 10059, 20118, 30177

Step-4: Factors of 60370

List of positive integer factors of 60370 that divides 60354 without a remainder.

1, 2, 5, 10, 6037, 12074, 30185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60354 and 60370. The biggest common factor number is the GCF number.
So the greatest common factor 60354 and 60370 is 2.

Also check out the Least Common Multiple of 60354 and 60370