What is the Greatest Common Factor of 74130 and 74142?

Greatest common factor (GCF) of 74130 and 74142 is 6.

GCF(74130,74142) = 6

We will now calculate the prime factors of 74130 and 74142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74130 and 74142.

How to find the GCF of 74130 and 74142?

We will first find the prime factorization of 74130 and 74142. After we will calculate the factors of 74130 and 74142 and find the biggest common factor number .

Step-1: Prime Factorization of 74130

Prime factors of 74130 are 2, 3, 5, 7, 353. Prime factorization of 74130 in exponential form is:

74130 = 2¹ × 3¹ × 5¹ × 7¹ × 353¹

Step-2: Prime Factorization of 74142

Prime factors of 74142 are 2, 3, 1373. Prime factorization of 74142 in exponential form is:

74142 = 2¹ × 3³ × 1373¹

Step-3: Factors of 74130

List of positive integer factors of 74130 that divides 74130 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 353, 706, 1059, 1765, 2118, 2471, 3530, 4942, 5295, 7413, 10590, 12355, 14826, 24710, 37065

Step-4: Factors of 74142

List of positive integer factors of 74142 that divides 74130 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1373, 2746, 4119, 8238, 12357, 24714, 37071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74130 and 74142. The biggest common factor number is the GCF number.
So the greatest common factor 74130 and 74142 is 6.

Also check out the Least Common Multiple of 74130 and 74142