What is the Greatest Common Factor of 30058 and 30064?

Greatest common factor (GCF) of 30058 and 30064 is 2.

GCF(30058,30064) = 2

We will now calculate the prime factors of 30058 and 30064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30058 and 30064.

How to find the GCF of 30058 and 30064?

We will first find the prime factorization of 30058 and 30064. After we will calculate the factors of 30058 and 30064 and find the biggest common factor number .

Step-1: Prime Factorization of 30058

Prime factors of 30058 are 2, 7, 19, 113. Prime factorization of 30058 in exponential form is:

30058 = 2¹ × 7¹ × 19¹ × 113¹

Step-2: Prime Factorization of 30064

Prime factors of 30064 are 2, 1879. Prime factorization of 30064 in exponential form is:

30064 = 2⁴ × 1879¹

Step-3: Factors of 30058

List of positive integer factors of 30058 that divides 30058 without a remainder.

1, 2, 7, 14, 19, 38, 113, 133, 226, 266, 791, 1582, 2147, 4294, 15029

Step-4: Factors of 30064

List of positive integer factors of 30064 that divides 30058 without a remainder.

1, 2, 4, 8, 16, 1879, 3758, 7516, 15032

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30058 and 30064. The biggest common factor number is the GCF number.
So the greatest common factor 30058 and 30064 is 2.

Also check out the Least Common Multiple of 30058 and 30064