What is the Greatest Common Factor of 36060 and 36074?

Greatest common factor (GCF) of 36060 and 36074 is 2.

GCF(36060,36074) = 2

We will now calculate the prime factors of 36060 and 36074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36060 and 36074.

How to find the GCF of 36060 and 36074?

We will first find the prime factorization of 36060 and 36074. After we will calculate the factors of 36060 and 36074 and find the biggest common factor number .

Step-1: Prime Factorization of 36060

Prime factors of 36060 are 2, 3, 5, 601. Prime factorization of 36060 in exponential form is:

36060 = 2² × 3¹ × 5¹ × 601¹

Step-2: Prime Factorization of 36074

Prime factors of 36074 are 2, 17, 1061. Prime factorization of 36074 in exponential form is:

36074 = 2¹ × 17¹ × 1061¹

Step-3: Factors of 36060

List of positive integer factors of 36060 that divides 36060 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 601, 1202, 1803, 2404, 3005, 3606, 6010, 7212, 9015, 12020, 18030

Step-4: Factors of 36074

List of positive integer factors of 36074 that divides 36060 without a remainder.

1, 2, 17, 34, 1061, 2122, 18037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36060 and 36074. The biggest common factor number is the GCF number.
So the greatest common factor 36060 and 36074 is 2.

Also check out the Least Common Multiple of 36060 and 36074