What is the Greatest Common Factor of 60354 and 60358?

Greatest common factor (GCF) of 60354 and 60358 is 2.

GCF(60354,60358) = 2

We will now calculate the prime factors of 60354 and 60358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60354 and 60358.

How to find the GCF of 60354 and 60358?

We will first find the prime factorization of 60354 and 60358. After we will calculate the factors of 60354 and 60358 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 60358

Prime factors of 60358 are 2, 103, 293. Prime factorization of 60358 in exponential form is:

60358 = 2¹ × 103¹ × 293¹

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 60358

List of positive integer factors of 60358 that divides 60354 without a remainder.

1, 2, 103, 206, 293, 586, 30179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60354 and 60358. The biggest common factor number is the GCF number.
So the greatest common factor 60354 and 60358 is 2.

Also check out the Least Common Multiple of 60354 and 60358